3(x+7)+6=5(x-6)-4x+6

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Solution for 3(x+7)+6=5(x-6)-4x+6 equation:


Simplifying
3(x + 7) + 6 = 5(x + -6) + -4x + 6

Reorder the terms:
3(7 + x) + 6 = 5(x + -6) + -4x + 6
(7 * 3 + x * 3) + 6 = 5(x + -6) + -4x + 6
(21 + 3x) + 6 = 5(x + -6) + -4x + 6

Reorder the terms:
21 + 6 + 3x = 5(x + -6) + -4x + 6

Combine like terms: 21 + 6 = 27
27 + 3x = 5(x + -6) + -4x + 6

Reorder the terms:
27 + 3x = 5(-6 + x) + -4x + 6
27 + 3x = (-6 * 5 + x * 5) + -4x + 6
27 + 3x = (-30 + 5x) + -4x + 6

Reorder the terms:
27 + 3x = -30 + 6 + 5x + -4x

Combine like terms: -30 + 6 = -24
27 + 3x = -24 + 5x + -4x

Combine like terms: 5x + -4x = 1x
27 + 3x = -24 + 1x

Solving
27 + 3x = -24 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + 3x + -1x = -24 + 1x + -1x

Combine like terms: 3x + -1x = 2x
27 + 2x = -24 + 1x + -1x

Combine like terms: 1x + -1x = 0
27 + 2x = -24 + 0
27 + 2x = -24

Add '-27' to each side of the equation.
27 + -27 + 2x = -24 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = -24 + -27
2x = -24 + -27

Combine like terms: -24 + -27 = -51
2x = -51

Divide each side by '2'.
x = -25.5

Simplifying
x = -25.5

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