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

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


Simplifying
2(x + -5) + -1x = 4x + -7

Reorder the terms:
2(-5 + x) + -1x = 4x + -7
(-5 * 2 + x * 2) + -1x = 4x + -7
(-10 + 2x) + -1x = 4x + -7

Combine like terms: 2x + -1x = 1x
-10 + 1x = 4x + -7

Reorder the terms:
-10 + 1x = -7 + 4x

Solving
-10 + 1x = -7 + 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.
-10 + 1x + -4x = -7 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-10 + -3x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -3x = -7 + 0
-10 + -3x = -7

Add '10' to each side of the equation.
-10 + 10 + -3x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -7 + 10
-3x = -7 + 10

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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