4(x+2)=14x-22

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Solution for 4(x+2)=14x-22 equation:


Simplifying
4(x + 2) = 14x + -22

Reorder the terms:
4(2 + x) = 14x + -22
(2 * 4 + x * 4) = 14x + -22
(8 + 4x) = 14x + -22

Reorder the terms:
8 + 4x = -22 + 14x

Solving
8 + 4x = -22 + 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.
8 + 4x + -14x = -22 + 14x + -14x

Combine like terms: 4x + -14x = -10x
8 + -10x = -22 + 14x + -14x

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

Add '-8' to each side of the equation.
8 + -8 + -10x = -22 + -8

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

Combine like terms: -22 + -8 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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