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

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


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

Reorder the terms:
2(-8 + x) + -7 = -7(-2x + 3) + -8x
(-8 * 2 + x * 2) + -7 = -7(-2x + 3) + -8x
(-16 + 2x) + -7 = -7(-2x + 3) + -8x

Reorder the terms:
-16 + -7 + 2x = -7(-2x + 3) + -8x

Combine like terms: -16 + -7 = -23
-23 + 2x = -7(-2x + 3) + -8x

Reorder the terms:
-23 + 2x = -7(3 + -2x) + -8x
-23 + 2x = (3 * -7 + -2x * -7) + -8x
-23 + 2x = (-21 + 14x) + -8x

Combine like terms: 14x + -8x = 6x
-23 + 2x = -21 + 6x

Solving
-23 + 2x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-23 + 2x + -6x = -21 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-23 + -4x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-23 + -4x = -21 + 0
-23 + -4x = -21

Add '23' to each side of the equation.
-23 + 23 + -4x = -21 + 23

Combine like terms: -23 + 23 = 0
0 + -4x = -21 + 23
-4x = -21 + 23

Combine like terms: -21 + 23 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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