6(x+2)-4=2(x+7)+10

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Solution for 6(x+2)-4=2(x+7)+10 equation:


Simplifying
6(x + 2) + -4 = 2(x + 7) + 10

Reorder the terms:
6(2 + x) + -4 = 2(x + 7) + 10
(2 * 6 + x * 6) + -4 = 2(x + 7) + 10
(12 + 6x) + -4 = 2(x + 7) + 10

Reorder the terms:
12 + -4 + 6x = 2(x + 7) + 10

Combine like terms: 12 + -4 = 8
8 + 6x = 2(x + 7) + 10

Reorder the terms:
8 + 6x = 2(7 + x) + 10
8 + 6x = (7 * 2 + x * 2) + 10
8 + 6x = (14 + 2x) + 10

Reorder the terms:
8 + 6x = 14 + 10 + 2x

Combine like terms: 14 + 10 = 24
8 + 6x = 24 + 2x

Solving
8 + 6x = 24 + 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.
8 + 6x + -2x = 24 + 2x + -2x

Combine like terms: 6x + -2x = 4x
8 + 4x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 4x = 24 + 0
8 + 4x = 24

Add '-8' to each side of the equation.
8 + -8 + 4x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 24 + -8
4x = 24 + -8

Combine like terms: 24 + -8 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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