4(x+1)=2(x+2)+14

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Solution for 4(x+1)=2(x+2)+14 equation:


Simplifying
4(x + 1) = 2(x + 2) + 14

Reorder the terms:
4(1 + x) = 2(x + 2) + 14
(1 * 4 + x * 4) = 2(x + 2) + 14
(4 + 4x) = 2(x + 2) + 14

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

Reorder the terms:
4 + 4x = 4 + 14 + 2x

Combine like terms: 4 + 14 = 18
4 + 4x = 18 + 2x

Solving
4 + 4x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 4x + -2x = 18 + 2x + -2x

Combine like terms: 4x + -2x = 2x
4 + 2x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = 18 + 0
4 + 2x = 18

Add '-4' to each side of the equation.
4 + -4 + 2x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 18 + -4
2x = 18 + -4

Combine like terms: 18 + -4 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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