5+2(3x-4)=12x-15

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Solution for 5+2(3x-4)=12x-15 equation:


Simplifying
5 + 2(3x + -4) = 12x + -15

Reorder the terms:
5 + 2(-4 + 3x) = 12x + -15
5 + (-4 * 2 + 3x * 2) = 12x + -15
5 + (-8 + 6x) = 12x + -15

Combine like terms: 5 + -8 = -3
-3 + 6x = 12x + -15

Reorder the terms:
-3 + 6x = -15 + 12x

Solving
-3 + 6x = -15 + 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.
-3 + 6x + -12x = -15 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-3 + -6x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -6x = -15 + 0
-3 + -6x = -15

Add '3' to each side of the equation.
-3 + 3 + -6x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -15 + 3
-6x = -15 + 3

Combine like terms: -15 + 3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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