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

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


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

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

Combine like terms: 7 + 6 = 13
13 + -2x = 12 + -5x

Solving
13 + -2x = 12 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
13 + -2x + 5x = 12 + -5x + 5x

Combine like terms: -2x + 5x = 3x
13 + 3x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 3x = 12 + 0
13 + 3x = 12

Add '-13' to each side of the equation.
13 + -13 + 3x = 12 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 12 + -13
3x = 12 + -13

Combine like terms: 12 + -13 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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