6(2x+7)-5=3(2x-7)+4

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Solution for 6(2x+7)-5=3(2x-7)+4 equation: 


Simplifying
6(2x + 7) + -5 = 3(2x + -7) + 4

Reorder the terms:
6(7 + 2x) + -5 = 3(2x + -7) + 4
(7 * 6 + 2x * 6) + -5 = 3(2x + -7) + 4
(42 + 12x) + -5 = 3(2x + -7) + 4

Reorder the terms:
42 + -5 + 12x = 3(2x + -7) + 4

Combine like terms: 42 + -5 = 37
37 + 12x = 3(2x + -7) + 4

Reorder the terms:
37 + 12x = 3(-7 + 2x) + 4
37 + 12x = (-7 * 3 + 2x * 3) + 4
37 + 12x = (-21 + 6x) + 4

Reorder the terms:
37 + 12x = -21 + 4 + 6x

Combine like terms: -21 + 4 = -17
37 + 12x = -17 + 6x

Solving
37 + 12x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
37 + 12x + -6x = -17 + 6x + -6x

Combine like terms: 12x + -6x = 6x
37 + 6x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
37 + 6x = -17 + 0
37 + 6x = -17

Add '-37' to each side of the equation.
37 + -37 + 6x = -17 + -37

Combine like terms: 37 + -37 = 0
0 + 6x = -17 + -37
6x = -17 + -37

Combine like terms: -17 + -37 = -54
6x = -54

Divide each side by '6'.
x = -9

Simplifying
x = -9

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