x-(2x-1)+3=2x+10

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Solution for x-(2x-1)+3=2x+10 equation:


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

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

Reorder the terms:
1 + 3 + x + -2x = 2x + 10

Combine like terms: 1 + 3 = 4
4 + x + -2x = 2x + 10

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

Reorder the terms:
4 + -1x = 10 + 2x

Solving
4 + -1x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -1x + -2x = 10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
4 + -3x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -3x = 10 + 0
4 + -3x = 10

Add '-4' to each side of the equation.
4 + -4 + -3x = 10 + -4

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

Combine like terms: 10 + -4 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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