4x+8x=4(6x+6)-2(1+7x)

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Solution for 4x+8x=4(6x+6)-2(1+7x) equation:


Simplifying
4x + 8x = 4(6x + 6) + -2(1 + 7x)

Combine like terms: 4x + 8x = 12x
12x = 4(6x + 6) + -2(1 + 7x)

Reorder the terms:
12x = 4(6 + 6x) + -2(1 + 7x)
12x = (6 * 4 + 6x * 4) + -2(1 + 7x)
12x = (24 + 24x) + -2(1 + 7x)
12x = 24 + 24x + (1 * -2 + 7x * -2)
12x = 24 + 24x + (-2 + -14x)

Reorder the terms:
12x = 24 + -2 + 24x + -14x

Combine like terms: 24 + -2 = 22
12x = 22 + 24x + -14x

Combine like terms: 24x + -14x = 10x
12x = 22 + 10x

Solving
12x = 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.
12x + -10x = 22 + 10x + -10x

Combine like terms: 12x + -10x = 2x
2x = 22 + 10x + -10x

Combine like terms: 10x + -10x = 0
2x = 22 + 0
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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