2x-1=8-(x-3)

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Solution for 2x-1=8-(x-3) equation:


Simplifying
2x + -1 = 8 + -1(x + -3)

Reorder the terms:
-1 + 2x = 8 + -1(x + -3)

Reorder the terms:
-1 + 2x = 8 + -1(-3 + x)
-1 + 2x = 8 + (-3 * -1 + x * -1)
-1 + 2x = 8 + (3 + -1x)

Combine like terms: 8 + 3 = 11
-1 + 2x = 11 + -1x

Solving
-1 + 2x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 2x + x = 11 + -1x + x

Combine like terms: 2x + x = 3x
-1 + 3x = 11 + -1x + x

Combine like terms: -1x + x = 0
-1 + 3x = 11 + 0
-1 + 3x = 11

Add '1' to each side of the equation.
-1 + 1 + 3x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 11 + 1
3x = 11 + 1

Combine like terms: 11 + 1 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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