2(x-5)+7=4x-12

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Solution for 2(x-5)+7=4x-12 equation:


Simplifying
2(x + -5) + 7 = 4x + -12

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

Reorder the terms:
-10 + 7 + 2x = 4x + -12

Combine like terms: -10 + 7 = -3
-3 + 2x = 4x + -12

Reorder the terms:
-3 + 2x = -12 + 4x

Solving
-3 + 2x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 2x + -4x = -12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-3 + -2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -2x = -12 + 0
-3 + -2x = -12

Add '3' to each side of the equation.
-3 + 3 + -2x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -12 + 3
-2x = -12 + 3

Combine like terms: -12 + 3 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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