6(x+3)-(4-3x)=8x

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Solution for 6(x+3)-(4-3x)=8x equation:


Simplifying
6(x + 3) + -1(4 + -3x) = 8x

Reorder the terms:
6(3 + x) + -1(4 + -3x) = 8x
(3 * 6 + x * 6) + -1(4 + -3x) = 8x
(18 + 6x) + -1(4 + -3x) = 8x
18 + 6x + (4 * -1 + -3x * -1) = 8x
18 + 6x + (-4 + 3x) = 8x

Reorder the terms:
18 + -4 + 6x + 3x = 8x

Combine like terms: 18 + -4 = 14
14 + 6x + 3x = 8x

Combine like terms: 6x + 3x = 9x
14 + 9x = 8x

Solving
14 + 9x = 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.
14 + 9x + -8x = 8x + -8x

Combine like terms: 9x + -8x = 1x
14 + 1x = 8x + -8x

Combine like terms: 8x + -8x = 0
14 + 1x = 0

Add '-14' to each side of the equation.
14 + -14 + 1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 0 + -14
1x = 0 + -14

Combine like terms: 0 + -14 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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