12-3(2x+7)=3(5x-4)

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Solution for 12-3(2x+7)=3(5x-4) equation:


Simplifying
12 + -3(2x + 7) = 3(5x + -4)

Reorder the terms:
12 + -3(7 + 2x) = 3(5x + -4)
12 + (7 * -3 + 2x * -3) = 3(5x + -4)
12 + (-21 + -6x) = 3(5x + -4)

Combine like terms: 12 + -21 = -9
-9 + -6x = 3(5x + -4)

Reorder the terms:
-9 + -6x = 3(-4 + 5x)
-9 + -6x = (-4 * 3 + 5x * 3)
-9 + -6x = (-12 + 15x)

Solving
-9 + -6x = -12 + 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.
-9 + -6x + -15x = -12 + 15x + -15x

Combine like terms: -6x + -15x = -21x
-9 + -21x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-9 + -21x = -12 + 0
-9 + -21x = -12

Add '9' to each side of the equation.
-9 + 9 + -21x = -12 + 9

Combine like terms: -9 + 9 = 0
0 + -21x = -12 + 9
-21x = -12 + 9

Combine like terms: -12 + 9 = -3
-21x = -3

Divide each side by '-21'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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