-3(x+5)+6x+2=4(x+6)-9

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Solution for -3(x+5)+6x+2=4(x+6)-9 equation:


Simplifying
-3(x + 5) + 6x + 2 = 4(x + 6) + -9

Reorder the terms:
-3(5 + x) + 6x + 2 = 4(x + 6) + -9
(5 * -3 + x * -3) + 6x + 2 = 4(x + 6) + -9
(-15 + -3x) + 6x + 2 = 4(x + 6) + -9

Reorder the terms:
-15 + 2 + -3x + 6x = 4(x + 6) + -9

Combine like terms: -15 + 2 = -13
-13 + -3x + 6x = 4(x + 6) + -9

Combine like terms: -3x + 6x = 3x
-13 + 3x = 4(x + 6) + -9

Reorder the terms:
-13 + 3x = 4(6 + x) + -9
-13 + 3x = (6 * 4 + x * 4) + -9
-13 + 3x = (24 + 4x) + -9

Reorder the terms:
-13 + 3x = 24 + -9 + 4x

Combine like terms: 24 + -9 = 15
-13 + 3x = 15 + 4x

Solving
-13 + 3x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 3x + -4x = 15 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -1x = 15 + 0
-13 + -1x = 15

Add '13' to each side of the equation.
-13 + 13 + -1x = 15 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 15 + 13
-1x = 15 + 13

Combine like terms: 15 + 13 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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