7x-(2x-2)-8=3(4x-9)+7

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Solution for 7x-(2x-2)-8=3(4x-9)+7 equation:


Simplifying
7x + -1(2x + -2) + -8 = 3(4x + -9) + 7

Reorder the terms:
7x + -1(-2 + 2x) + -8 = 3(4x + -9) + 7
7x + (-2 * -1 + 2x * -1) + -8 = 3(4x + -9) + 7
7x + (2 + -2x) + -8 = 3(4x + -9) + 7

Reorder the terms:
2 + -8 + 7x + -2x = 3(4x + -9) + 7

Combine like terms: 2 + -8 = -6
-6 + 7x + -2x = 3(4x + -9) + 7

Combine like terms: 7x + -2x = 5x
-6 + 5x = 3(4x + -9) + 7

Reorder the terms:
-6 + 5x = 3(-9 + 4x) + 7
-6 + 5x = (-9 * 3 + 4x * 3) + 7
-6 + 5x = (-27 + 12x) + 7

Reorder the terms:
-6 + 5x = -27 + 7 + 12x

Combine like terms: -27 + 7 = -20
-6 + 5x = -20 + 12x

Solving
-6 + 5x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 5x + -12x = -20 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-6 + -7x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -7x = -20 + 0
-6 + -7x = -20

Add '6' to each side of the equation.
-6 + 6 + -7x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -20 + 6
-7x = -20 + 6

Combine like terms: -20 + 6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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