5-3x(5-6)=2x+7-3x

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Solution for 5-3x(5-6)=2x+7-3x equation:


Simplifying
5 + -3x(5 + -6) = 2x + 7 + -3x

Combine like terms: 5 + -6 = -1
5 + -3x(-1) = 2x + 7 + -3x

Reorder the terms for easier multiplication:
5 + -3 * -1x = 2x + 7 + -3x

Multiply -3 * -1
5 + 3x = 2x + 7 + -3x

Reorder the terms:
5 + 3x = 7 + 2x + -3x

Combine like terms: 2x + -3x = -1x
5 + 3x = 7 + -1x

Solving
5 + 3x = 7 + -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.
5 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
5 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
5 + 4x = 7 + 0
5 + 4x = 7

Add '-5' to each side of the equation.
5 + -5 + 4x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 7 + -5
4x = 7 + -5

Combine like terms: 7 + -5 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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