6(2x-5)+8=5(3x+7)-9

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Solution for 6(2x-5)+8=5(3x+7)-9 equation:


Simplifying
6(2x + -5) + 8 = 5(3x + 7) + -9

Reorder the terms:
6(-5 + 2x) + 8 = 5(3x + 7) + -9
(-5 * 6 + 2x * 6) + 8 = 5(3x + 7) + -9
(-30 + 12x) + 8 = 5(3x + 7) + -9

Reorder the terms:
-30 + 8 + 12x = 5(3x + 7) + -9

Combine like terms: -30 + 8 = -22
-22 + 12x = 5(3x + 7) + -9

Reorder the terms:
-22 + 12x = 5(7 + 3x) + -9
-22 + 12x = (7 * 5 + 3x * 5) + -9
-22 + 12x = (35 + 15x) + -9

Reorder the terms:
-22 + 12x = 35 + -9 + 15x

Combine like terms: 35 + -9 = 26
-22 + 12x = 26 + 15x

Solving
-22 + 12x = 26 + 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.
-22 + 12x + -15x = 26 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-22 + -3x = 26 + 15x + -15x

Combine like terms: 15x + -15x = 0
-22 + -3x = 26 + 0
-22 + -3x = 26

Add '22' to each side of the equation.
-22 + 22 + -3x = 26 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = 26 + 22
-3x = 26 + 22

Combine like terms: 26 + 22 = 48
-3x = 48

Divide each side by '-3'.
x = -16

Simplifying
x = -16

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