3x-5+5(11-x)=2(9-x)-(x-61)

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Solution for 3x-5+5(11-x)=2(9-x)-(x-61) equation:


Simplifying
3x + -5 + 5(11 + -1x) = 2(9 + -1x) + -1(x + -61)
3x + -5 + (11 * 5 + -1x * 5) = 2(9 + -1x) + -1(x + -61)
3x + -5 + (55 + -5x) = 2(9 + -1x) + -1(x + -61)

Reorder the terms:
-5 + 55 + 3x + -5x = 2(9 + -1x) + -1(x + -61)

Combine like terms: -5 + 55 = 50
50 + 3x + -5x = 2(9 + -1x) + -1(x + -61)

Combine like terms: 3x + -5x = -2x
50 + -2x = 2(9 + -1x) + -1(x + -61)
50 + -2x = (9 * 2 + -1x * 2) + -1(x + -61)
50 + -2x = (18 + -2x) + -1(x + -61)

Reorder the terms:
50 + -2x = 18 + -2x + -1(-61 + x)
50 + -2x = 18 + -2x + (-61 * -1 + x * -1)
50 + -2x = 18 + -2x + (61 + -1x)

Reorder the terms:
50 + -2x = 18 + 61 + -2x + -1x

Combine like terms: 18 + 61 = 79
50 + -2x = 79 + -2x + -1x

Combine like terms: -2x + -1x = -3x
50 + -2x = 79 + -3x

Solving
50 + -2x = 79 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
50 + -2x + 3x = 79 + -3x + 3x

Combine like terms: -2x + 3x = 1x
50 + 1x = 79 + -3x + 3x

Combine like terms: -3x + 3x = 0
50 + 1x = 79 + 0
50 + 1x = 79

Add '-50' to each side of the equation.
50 + -50 + 1x = 79 + -50

Combine like terms: 50 + -50 = 0
0 + 1x = 79 + -50
1x = 79 + -50

Combine like terms: 79 + -50 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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