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

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


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

Reorder the terms:
2(-5 + 2x) + -7 = x + -12
(-5 * 2 + 2x * 2) + -7 = x + -12
(-10 + 4x) + -7 = x + -12

Reorder the terms:
-10 + -7 + 4x = x + -12

Combine like terms: -10 + -7 = -17
-17 + 4x = x + -12

Reorder the terms:
-17 + 4x = -12 + x

Solving
-17 + 4x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + 4x + -1x = -12 + x + -1x

Combine like terms: 4x + -1x = 3x
-17 + 3x = -12 + x + -1x

Combine like terms: x + -1x = 0
-17 + 3x = -12 + 0
-17 + 3x = -12

Add '17' to each side of the equation.
-17 + 17 + 3x = -12 + 17

Combine like terms: -17 + 17 = 0
0 + 3x = -12 + 17
3x = -12 + 17

Combine like terms: -12 + 17 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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