4(x+6)-10=10x-22

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Solution for 4(x+6)-10=10x-22 equation:


Simplifying
4(x + 6) + -10 = 10x + -22

Reorder the terms:
4(6 + x) + -10 = 10x + -22
(6 * 4 + x * 4) + -10 = 10x + -22
(24 + 4x) + -10 = 10x + -22

Reorder the terms:
24 + -10 + 4x = 10x + -22

Combine like terms: 24 + -10 = 14
14 + 4x = 10x + -22

Reorder the terms:
14 + 4x = -22 + 10x

Solving
14 + 4x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14 + 4x + -10x = -22 + 10x + -10x

Combine like terms: 4x + -10x = -6x
14 + -6x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -6x = -22 + 0
14 + -6x = -22

Add '-14' to each side of the equation.
14 + -14 + -6x = -22 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -22 + -14
-6x = -22 + -14

Combine like terms: -22 + -14 = -36
-6x = -36

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

Simplifying
x = 6

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