2x-8(x-2)-7=x-5

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Solution for 2x-8(x-2)-7=x-5 equation:


Simplifying
2x + -8(x + -2) + -7 = x + -5

Reorder the terms:
2x + -8(-2 + x) + -7 = x + -5
2x + (-2 * -8 + x * -8) + -7 = x + -5
2x + (16 + -8x) + -7 = x + -5

Reorder the terms:
16 + -7 + 2x + -8x = x + -5

Combine like terms: 16 + -7 = 9
9 + 2x + -8x = x + -5

Combine like terms: 2x + -8x = -6x
9 + -6x = x + -5

Reorder the terms:
9 + -6x = -5 + x

Solving
9 + -6x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -6x + -1x = -5 + x + -1x

Combine like terms: -6x + -1x = -7x
9 + -7x = -5 + x + -1x

Combine like terms: x + -1x = 0
9 + -7x = -5 + 0
9 + -7x = -5

Add '-9' to each side of the equation.
9 + -9 + -7x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -5 + -9
-7x = -5 + -9

Combine like terms: -5 + -9 = -14
-7x = -14

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

Simplifying
x = 2

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