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

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


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

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

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

Combine like terms: 12 + 10 = 22
22 + 6x = 4(x + -2)

Reorder the terms:
22 + 6x = 4(-2 + x)
22 + 6x = (-2 * 4 + x * 4)
22 + 6x = (-8 + 4x)

Solving
22 + 6x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
22 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 2x = -8 + 0
22 + 2x = -8

Add '-22' to each side of the equation.
22 + -22 + 2x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = -8 + -22
2x = -8 + -22

Combine like terms: -8 + -22 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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