-4(x-2)+14=x+37

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Solution for -4(x-2)+14=x+37 equation:


Simplifying
-4(x + -2) + 14 = x + 37

Reorder the terms:
-4(-2 + x) + 14 = x + 37
(-2 * -4 + x * -4) + 14 = x + 37
(8 + -4x) + 14 = x + 37

Reorder the terms:
8 + 14 + -4x = x + 37

Combine like terms: 8 + 14 = 22
22 + -4x = x + 37

Reorder the terms:
22 + -4x = 37 + x

Solving
22 + -4x = 37 + 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.
22 + -4x + -1x = 37 + x + -1x

Combine like terms: -4x + -1x = -5x
22 + -5x = 37 + x + -1x

Combine like terms: x + -1x = 0
22 + -5x = 37 + 0
22 + -5x = 37

Add '-22' to each side of the equation.
22 + -22 + -5x = 37 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 37 + -22
-5x = 37 + -22

Combine like terms: 37 + -22 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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