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

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


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

Reorder the terms:
4(5 + 3x) = 3(x + -6) + -7
(5 * 4 + 3x * 4) = 3(x + -6) + -7
(20 + 12x) = 3(x + -6) + -7

Reorder the terms:
20 + 12x = 3(-6 + x) + -7
20 + 12x = (-6 * 3 + x * 3) + -7
20 + 12x = (-18 + 3x) + -7

Reorder the terms:
20 + 12x = -18 + -7 + 3x

Combine like terms: -18 + -7 = -25
20 + 12x = -25 + 3x

Solving
20 + 12x = -25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 12x + -3x = -25 + 3x + -3x

Combine like terms: 12x + -3x = 9x
20 + 9x = -25 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 9x = -25 + 0
20 + 9x = -25

Add '-20' to each side of the equation.
20 + -20 + 9x = -25 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = -25 + -20
9x = -25 + -20

Combine like terms: -25 + -20 = -45
9x = -45

Divide each side by '9'.
x = -5

Simplifying
x = -5

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