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

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Solution for 3(x+6)-4(4-2x)=7x+6 equation: 


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

Reorder the terms:
3(6 + x) + -4(4 + -2x) = 7x + 6
(6 * 3 + x * 3) + -4(4 + -2x) = 7x + 6
(18 + 3x) + -4(4 + -2x) = 7x + 6
18 + 3x + (4 * -4 + -2x * -4) = 7x + 6
18 + 3x + (-16 + 8x) = 7x + 6

Reorder the terms:
18 + -16 + 3x + 8x = 7x + 6

Combine like terms: 18 + -16 = 2
2 + 3x + 8x = 7x + 6

Combine like terms: 3x + 8x = 11x
2 + 11x = 7x + 6

Reorder the terms:
2 + 11x = 6 + 7x

Solving
2 + 11x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 11x + -7x = 6 + 7x + -7x

Combine like terms: 11x + -7x = 4x
2 + 4x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 4x = 6 + 0
2 + 4x = 6

Add '-2' to each side of the equation.
2 + -2 + 4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 6 + -2
4x = 6 + -2

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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