-14x+3(x-4)+8x=5x-44

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Solution for -14x+3(x-4)+8x=5x-44 equation:


Simplifying
-14x + 3(x + -4) + 8x = 5x + -44

Reorder the terms:
-14x + 3(-4 + x) + 8x = 5x + -44
-14x + (-4 * 3 + x * 3) + 8x = 5x + -44
-14x + (-12 + 3x) + 8x = 5x + -44

Reorder the terms:
-12 + -14x + 3x + 8x = 5x + -44

Combine like terms: -14x + 3x = -11x
-12 + -11x + 8x = 5x + -44

Combine like terms: -11x + 8x = -3x
-12 + -3x = 5x + -44

Reorder the terms:
-12 + -3x = -44 + 5x

Solving
-12 + -3x = -44 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + -3x + -5x = -44 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-12 + -8x = -44 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -8x = -44 + 0
-12 + -8x = -44

Add '12' to each side of the equation.
-12 + 12 + -8x = -44 + 12

Combine like terms: -12 + 12 = 0
0 + -8x = -44 + 12
-8x = -44 + 12

Combine like terms: -44 + 12 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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