10(x+2)=4(x-12)+44

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Solution for 10(x+2)=4(x-12)+44 equation: 


Simplifying
10(x + 2) = 4(x + -12) + 44

Reorder the terms:
10(2 + x) = 4(x + -12) + 44
(2 * 10 + x * 10) = 4(x + -12) + 44
(20 + 10x) = 4(x + -12) + 44

Reorder the terms:
20 + 10x = 4(-12 + x) + 44
20 + 10x = (-12 * 4 + x * 4) + 44
20 + 10x = (-48 + 4x) + 44

Reorder the terms:
20 + 10x = -48 + 44 + 4x

Combine like terms: -48 + 44 = -4
20 + 10x = -4 + 4x

Solving
20 + 10x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + 10x + -4x = -4 + 4x + -4x

Combine like terms: 10x + -4x = 6x
20 + 6x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 6x = -4 + 0
20 + 6x = -4

Add '-20' to each side of the equation.
20 + -20 + 6x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = -4 + -20
6x = -4 + -20

Combine like terms: -4 + -20 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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