10-(3x-3)=5-4x

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Solution for 10-(3x-3)=5-4x equation:


Simplifying
10 + -1(3x + -3) = 5 + -4x

Reorder the terms:
10 + -1(-3 + 3x) = 5 + -4x
10 + (-3 * -1 + 3x * -1) = 5 + -4x
10 + (3 + -3x) = 5 + -4x

Combine like terms: 10 + 3 = 13
13 + -3x = 5 + -4x

Solving
13 + -3x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
13 + -3x + 4x = 5 + -4x + 4x

Combine like terms: -3x + 4x = 1x
13 + 1x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
13 + 1x = 5 + 0
13 + 1x = 5

Add '-13' to each side of the equation.
13 + -13 + 1x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 5 + -13
1x = 5 + -13

Combine like terms: 5 + -13 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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