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

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


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

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

Reorder the terms:
-10 + 12 + 2x = 3x + -5

Combine like terms: -10 + 12 = 2
2 + 2x = 3x + -5

Reorder the terms:
2 + 2x = -5 + 3x

Solving
2 + 2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -5 + 0
2 + -1x = -5

Add '-2' to each side of the equation.
2 + -2 + -1x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -5 + -2
-1x = -5 + -2

Combine like terms: -5 + -2 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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