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

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


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

Reorder the terms:
5(-7 + 3x) + 2(x + 4) = 12x
(-7 * 5 + 3x * 5) + 2(x + 4) = 12x
(-35 + 15x) + 2(x + 4) = 12x

Reorder the terms:
-35 + 15x + 2(4 + x) = 12x
-35 + 15x + (4 * 2 + x * 2) = 12x
-35 + 15x + (8 + 2x) = 12x

Reorder the terms:
-35 + 8 + 15x + 2x = 12x

Combine like terms: -35 + 8 = -27
-27 + 15x + 2x = 12x

Combine like terms: 15x + 2x = 17x
-27 + 17x = 12x

Solving
-27 + 17x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-27 + 17x + -12x = 12x + -12x

Combine like terms: 17x + -12x = 5x
-27 + 5x = 12x + -12x

Combine like terms: 12x + -12x = 0
-27 + 5x = 0

Add '27' to each side of the equation.
-27 + 27 + 5x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 5x = 0 + 27
5x = 0 + 27

Combine like terms: 0 + 27 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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