4-2(3x-3)=10+(5-4x)

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Solution for 4-2(3x-3)=10+(5-4x) equation:


Simplifying
4 + -2(3x + -3) = 10 + (5 + -4x)

Reorder the terms:
4 + -2(-3 + 3x) = 10 + (5 + -4x)
4 + (-3 * -2 + 3x * -2) = 10 + (5 + -4x)
4 + (6 + -6x) = 10 + (5 + -4x)

Combine like terms: 4 + 6 = 10
10 + -6x = 10 + (5 + -4x)

Remove parenthesis around (5 + -4x)
10 + -6x = 10 + 5 + -4x

Combine like terms: 10 + 5 = 15
10 + -6x = 15 + -4x

Solving
10 + -6x = 15 + -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.
10 + -6x + 4x = 15 + -4x + 4x

Combine like terms: -6x + 4x = -2x
10 + -2x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + -2x = 15 + 0
10 + -2x = 15

Add '-10' to each side of the equation.
10 + -10 + -2x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 15 + -10
-2x = 15 + -10

Combine like terms: 15 + -10 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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