2-x=3x+11+5(3-x)

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Solution for 2-x=3x+11+5(3-x) equation:


Simplifying
2 + -1x = 3x + 11 + 5(3 + -1x)
2 + -1x = 3x + 11 + (3 * 5 + -1x * 5)
2 + -1x = 3x + 11 + (15 + -5x)

Reorder the terms:
2 + -1x = 11 + 15 + 3x + -5x

Combine like terms: 11 + 15 = 26
2 + -1x = 26 + 3x + -5x

Combine like terms: 3x + -5x = -2x
2 + -1x = 26 + -2x

Solving
2 + -1x = 26 + -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.
2 + -1x + 2x = 26 + -2x + 2x

Combine like terms: -1x + 2x = 1x
2 + 1x = 26 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 1x = 26 + 0
2 + 1x = 26

Add '-2' to each side of the equation.
2 + -2 + 1x = 26 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 26 + -2
1x = 26 + -2

Combine like terms: 26 + -2 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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