4(x-4)-7x=x-36

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Solution for 4(x-4)-7x=x-36 equation:


Simplifying
4(x + -4) + -7x = x + -36

Reorder the terms:
4(-4 + x) + -7x = x + -36
(-4 * 4 + x * 4) + -7x = x + -36
(-16 + 4x) + -7x = x + -36

Combine like terms: 4x + -7x = -3x
-16 + -3x = x + -36

Reorder the terms:
-16 + -3x = -36 + x

Solving
-16 + -3x = -36 + 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.
-16 + -3x + -1x = -36 + x + -1x

Combine like terms: -3x + -1x = -4x
-16 + -4x = -36 + x + -1x

Combine like terms: x + -1x = 0
-16 + -4x = -36 + 0
-16 + -4x = -36

Add '16' to each side of the equation.
-16 + 16 + -4x = -36 + 16

Combine like terms: -16 + 16 = 0
0 + -4x = -36 + 16
-4x = -36 + 16

Combine like terms: -36 + 16 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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