2(x+3)-x-10=5x-7

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Solution for 2(x+3)-x-10=5x-7 equation:


Simplifying
2(x + 3) + -1x + -10 = 5x + -7

Reorder the terms:
2(3 + x) + -1x + -10 = 5x + -7
(3 * 2 + x * 2) + -1x + -10 = 5x + -7
(6 + 2x) + -1x + -10 = 5x + -7

Reorder the terms:
6 + -10 + 2x + -1x = 5x + -7

Combine like terms: 6 + -10 = -4
-4 + 2x + -1x = 5x + -7

Combine like terms: 2x + -1x = 1x
-4 + 1x = 5x + -7

Reorder the terms:
-4 + 1x = -7 + 5x

Solving
-4 + 1x = -7 + 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.
-4 + 1x + -5x = -7 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-4 + -4x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -4x = -7 + 0
-4 + -4x = -7

Add '4' to each side of the equation.
-4 + 4 + -4x = -7 + 4

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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