2x+3+x-1=4x+17-3x

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Solution for 2x+3+x-1=4x+17-3x equation:


Simplifying
2x + 3 + x + -1 = 4x + 17 + -3x

Reorder the terms:
3 + -1 + 2x + x = 4x + 17 + -3x

Combine like terms: 3 + -1 = 2
2 + 2x + x = 4x + 17 + -3x

Combine like terms: 2x + x = 3x
2 + 3x = 4x + 17 + -3x

Reorder the terms:
2 + 3x = 17 + 4x + -3x

Combine like terms: 4x + -3x = 1x
2 + 3x = 17 + 1x

Solving
2 + 3x = 17 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = 17 + 1x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = 17 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 2x = 17 + 0
2 + 2x = 17

Add '-2' to each side of the equation.
2 + -2 + 2x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 17 + -2
2x = 17 + -2

Combine like terms: 17 + -2 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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