5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!

x = -7/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5x + 3 - 2x = 12 + 7x - 2

Step 2: Solve for x

Combine like terms:                                                                                        3x + 3 = 7x + 10[SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10[SPE] Subtract 10 on both sides:                                                                      -7 = 4x[DPE] Divide 4 on both sides:                                                                         -7/4 = xRewrite:                                                                                                           x = -7/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2Add:                                      -9/4 = 12 - 49/4 - 2Subtract:                               -9/4 = -1/4 - 2Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.