(4x-7)-(8x-37)-64=180

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Solution for (4x-7)-(8x-37)-64=180 equation:


Simplifying
(4x + -7) + -1(8x + -37) + -64 = 180

Reorder the terms:
(-7 + 4x) + -1(8x + -37) + -64 = 180

Remove parenthesis around (-7 + 4x)
-7 + 4x + -1(8x + -37) + -64 = 180

Reorder the terms:
-7 + 4x + -1(-37 + 8x) + -64 = 180
-7 + 4x + (-37 * -1 + 8x * -1) + -64 = 180
-7 + 4x + (37 + -8x) + -64 = 180

Reorder the terms:
-7 + 37 + -64 + 4x + -8x = 180

Combine like terms: -7 + 37 = 30
30 + -64 + 4x + -8x = 180

Combine like terms: 30 + -64 = -34
-34 + 4x + -8x = 180

Combine like terms: 4x + -8x = -4x
-34 + -4x = 180

Solving
-34 + -4x = 180

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + -4x = 180 + 34

Combine like terms: -34 + 34 = 0
0 + -4x = 180 + 34
-4x = 180 + 34

Combine like terms: 180 + 34 = 214
-4x = 214

Divide each side by '-4'.
x = -53.5

Simplifying
x = -53.5

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