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

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


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

Reorder the terms:
2(3 + 5x) = 7x + -12
(3 * 2 + 5x * 2) = 7x + -12
(6 + 10x) = 7x + -12

Reorder the terms:
6 + 10x = -12 + 7x

Solving
6 + 10x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 10x + -7x = -12 + 7x + -7x

Combine like terms: 10x + -7x = 3x
6 + 3x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 3x = -12 + 0
6 + 3x = -12

Add '-6' to each side of the equation.
6 + -6 + 3x = -12 + -6

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

Combine like terms: -12 + -6 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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