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

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


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

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

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

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

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

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

Solving
8 + 1x = 1 + 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.
8 + 1x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + -1x = 1 + 0
8 + -1x = 1

Add '-8' to each side of the equation.
8 + -8 + -1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 1 + -8
-1x = 1 + -8

Combine like terms: 1 + -8 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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