3(1-x)=7-(-6+5x)

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Solution for 3(1-x)=7-(-6+5x) equation:


Simplifying
3(1 + -1x) = 7 + -1(-6 + 5x)
(1 * 3 + -1x * 3) = 7 + -1(-6 + 5x)
(3 + -3x) = 7 + -1(-6 + 5x)
3 + -3x = 7 + (-6 * -1 + 5x * -1)
3 + -3x = 7 + (6 + -5x)

Combine like terms: 7 + 6 = 13
3 + -3x = 13 + -5x

Solving
3 + -3x = 13 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + -3x + 5x = 13 + -5x + 5x

Combine like terms: -3x + 5x = 2x
3 + 2x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 2x = 13 + 0
3 + 2x = 13

Add '-3' to each side of the equation.
3 + -3 + 2x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 13 + -3
2x = 13 + -3

Combine like terms: 13 + -3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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