6(x+3)=2(4x-11)

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Solution for 6(x+3)=2(4x-11) equation:


Simplifying
6(x + 3) = 2(4x + -11)

Reorder the terms:
6(3 + x) = 2(4x + -11)
(3 * 6 + x * 6) = 2(4x + -11)
(18 + 6x) = 2(4x + -11)

Reorder the terms:
18 + 6x = 2(-11 + 4x)
18 + 6x = (-11 * 2 + 4x * 2)
18 + 6x = (-22 + 8x)

Solving
18 + 6x = -22 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 6x + -8x = -22 + 8x + -8x

Combine like terms: 6x + -8x = -2x
18 + -2x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -2x = -22 + 0
18 + -2x = -22

Add '-18' to each side of the equation.
18 + -18 + -2x = -22 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -22 + -18
-2x = -22 + -18

Combine like terms: -22 + -18 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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