10=-4(x-4)-10x+22

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Solution for 10=-4(x-4)-10x+22 equation:


Simplifying
10 = -4(x + -4) + -10x + 22

Reorder the terms:
10 = -4(-4 + x) + -10x + 22
10 = (-4 * -4 + x * -4) + -10x + 22
10 = (16 + -4x) + -10x + 22

Reorder the terms:
10 = 16 + 22 + -4x + -10x

Combine like terms: 16 + 22 = 38
10 = 38 + -4x + -10x

Combine like terms: -4x + -10x = -14x
10 = 38 + -14x

Solving
10 = 38 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
10 + 14x = 38 + -14x + 14x

Combine like terms: -14x + 14x = 0
10 + 14x = 38 + 0
10 + 14x = 38

Add '-10' to each side of the equation.
10 + -10 + 14x = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 38 + -10
14x = 38 + -10

Combine like terms: 38 + -10 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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