3-(4x-8)-7=8x+2(x+3)-6

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Solution for 3-(4x-8)-7=8x+2(x+3)-6 equation:


Simplifying
3 + -1(4x + -8) + -7 = 8x + 2(x + 3) + -6

Reorder the terms:
3 + -1(-8 + 4x) + -7 = 8x + 2(x + 3) + -6
3 + (-8 * -1 + 4x * -1) + -7 = 8x + 2(x + 3) + -6
3 + (8 + -4x) + -7 = 8x + 2(x + 3) + -6

Reorder the terms:
3 + 8 + -7 + -4x = 8x + 2(x + 3) + -6

Combine like terms: 3 + 8 = 11
11 + -7 + -4x = 8x + 2(x + 3) + -6

Combine like terms: 11 + -7 = 4
4 + -4x = 8x + 2(x + 3) + -6

Reorder the terms:
4 + -4x = 8x + 2(3 + x) + -6
4 + -4x = 8x + (3 * 2 + x * 2) + -6
4 + -4x = 8x + (6 + 2x) + -6

Reorder the terms:
4 + -4x = 6 + -6 + 8x + 2x

Combine like terms: 6 + -6 = 0
4 + -4x = 0 + 8x + 2x
4 + -4x = 8x + 2x

Combine like terms: 8x + 2x = 10x
4 + -4x = 10x

Solving
4 + -4x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + -4x + -10x = 10x + -10x

Combine like terms: -4x + -10x = -14x
4 + -14x = 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -14x = 0

Add '-4' to each side of the equation.
4 + -4 + -14x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = 0 + -4
-14x = 0 + -4

Combine like terms: 0 + -4 = -4
-14x = -4

Divide each side by '-14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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