6(x+-6)+6x=5(3x+5)-10

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Solution for 6(x+-6)+6x=5(3x+5)-10 equation:


Simplifying
6(x + -6) + 6x = 5(3x + 5) + -10

Reorder the terms:
6(-6 + x) + 6x = 5(3x + 5) + -10
(-6 * 6 + x * 6) + 6x = 5(3x + 5) + -10
(-36 + 6x) + 6x = 5(3x + 5) + -10

Combine like terms: 6x + 6x = 12x
-36 + 12x = 5(3x + 5) + -10

Reorder the terms:
-36 + 12x = 5(5 + 3x) + -10
-36 + 12x = (5 * 5 + 3x * 5) + -10
-36 + 12x = (25 + 15x) + -10

Reorder the terms:
-36 + 12x = 25 + -10 + 15x

Combine like terms: 25 + -10 = 15
-36 + 12x = 15 + 15x

Solving
-36 + 12x = 15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-36 + 12x + -15x = 15 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-36 + -3x = 15 + 15x + -15x

Combine like terms: 15x + -15x = 0
-36 + -3x = 15 + 0
-36 + -3x = 15

Add '36' to each side of the equation.
-36 + 36 + -3x = 15 + 36

Combine like terms: -36 + 36 = 0
0 + -3x = 15 + 36
-3x = 15 + 36

Combine like terms: 15 + 36 = 51
-3x = 51

Divide each side by '-3'.
x = -17

Simplifying
x = -17

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