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

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Solution for 3(x-4)+37=-2x equation:


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

Reorder the terms:
3(-4 + x) + 37 = -2x
(-4 * 3 + x * 3) + 37 = -2x
(-12 + 3x) + 37 = -2x

Reorder the terms:
-12 + 37 + 3x = -2x

Combine like terms: -12 + 37 = 25
25 + 3x = -2x

Solving
25 + 3x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
25 + 3x + 2x = -2x + 2x

Combine like terms: 3x + 2x = 5x
25 + 5x = -2x + 2x

Combine like terms: -2x + 2x = 0
25 + 5x = 0

Add '-25' to each side of the equation.
25 + -25 + 5x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = 0 + -25
5x = 0 + -25

Combine like terms: 0 + -25 = -25
5x = -25

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

Simplifying
x = -5

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