2(x+7)=10x-22

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Solution for 2(x+7)=10x-22 equation:


Simplifying
2(x + 7) = 10x + -22

Reorder the terms:
2(7 + x) = 10x + -22
(7 * 2 + x * 2) = 10x + -22
(14 + 2x) = 10x + -22

Reorder the terms:
14 + 2x = -22 + 10x

Solving
14 + 2x = -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 + 2x + -10x = -22 + 10x + -10x

Combine like terms: 2x + -10x = -8x
14 + -8x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -8x = -22 + 0
14 + -8x = -22

Add '-14' to each side of the equation.
14 + -14 + -8x = -22 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -22 + -14
-8x = -22 + -14

Combine like terms: -22 + -14 = -36
-8x = -36

Divide each side by '-8'.
x = 4.5

Simplifying
x = 4.5

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