(-3x+2)-7=-2(x-9)

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Solution for (-3x+2)-7=-2(x-9) equation:


Simplifying
(-3x + 2) + -7 = -2(x + -9)

Reorder the terms:
(2 + -3x) + -7 = -2(x + -9)

Remove parenthesis around (2 + -3x)
2 + -3x + -7 = -2(x + -9)

Reorder the terms:
2 + -7 + -3x = -2(x + -9)

Combine like terms: 2 + -7 = -5
-5 + -3x = -2(x + -9)

Reorder the terms:
-5 + -3x = -2(-9 + x)
-5 + -3x = (-9 * -2 + x * -2)
-5 + -3x = (18 + -2x)

Solving
-5 + -3x = 18 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-5 + -3x + 2x = 18 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-5 + -1x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + -1x = 18 + 0
-5 + -1x = 18

Add '5' to each side of the equation.
-5 + 5 + -1x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 18 + 5
-1x = 18 + 5

Combine like terms: 18 + 5 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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