3x+2=2(10)-x+11

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Solution for 3x+2=2(10)-x+11 equation:


Simplifying
3x + 2 = 2(10) + -1x + 11

Reorder the terms:
2 + 3x = 2(10) + -1x + 11

Multiply 2 * 10
2 + 3x = 20 + -1x + 11

Reorder the terms:
2 + 3x = 20 + 11 + -1x

Combine like terms: 20 + 11 = 31
2 + 3x = 31 + -1x

Solving
2 + 3x = 31 + -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.
2 + 3x + x = 31 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 31 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 31 + 0
2 + 4x = 31

Add '-2' to each side of the equation.
2 + -2 + 4x = 31 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 31 + -2
4x = 31 + -2

Combine like terms: 31 + -2 = 29
4x = 29

Divide each side by '4'.
x = 7.25

Simplifying
x = 7.25

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