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

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


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

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

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

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

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

Reorder the terms:
9 + 9x = 4(-7 + x) + 2
9 + 9x = (-7 * 4 + x * 4) + 2
9 + 9x = (-28 + 4x) + 2

Reorder the terms:
9 + 9x = -28 + 2 + 4x

Combine like terms: -28 + 2 = -26
9 + 9x = -26 + 4x

Solving
9 + 9x = -26 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 9x + -4x = -26 + 4x + -4x

Combine like terms: 9x + -4x = 5x
9 + 5x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 5x = -26 + 0
9 + 5x = -26

Add '-9' to each side of the equation.
9 + -9 + 5x = -26 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -26 + -9
5x = -26 + -9

Combine like terms: -26 + -9 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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