1. 1.5x-10=3(2x-4)

2. 3(-3x+2)+4x=1/2(5x-30)-9

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1.   1.5x - 10 = 3 (2x - 4)

Step 1: Distribute 3 to the numbers in the parentheses

1.5x - 10 = (3 *2x) + (3* - 4)

1.5x - 10 = (6x) + (-12)

1.5x - 10 = 6x- 12

Step 2: Combine like terms (x's go with x's). Subtract 6x from both sides so that it is canceled out from the right side and brought to the left side.

(1.5x-6x) - 10 = - 12

-4.5x -10 = -12

Step 3: Continue combining like terms by adding 10 to both sides. This will cancel out -10 from the left side and move it to the right

-4.5x = -12 + 10

-4.5x = -2

Step 4: Divide -4.5 to both sides to isolate x

(-2/-4.5) = x

4/9 = x

2.  3 (-3x + 2) +4x = 1/2(5x - 30) - 9

Step 1: distribute 3 to the numbers in the parentheses.

(3*-3x) + (3*-2) +4x = 1/2 (5x - 30) -9

-9x + (-6) +4x = 1/2 (5x -30) -9

Step 2:

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

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step-by-step explanation: