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

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


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

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

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

Reorder the terms:
10 + -6x = -5 + x

Solving
10 + -6x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -6x + -1x = -5 + x + -1x

Combine like terms: -6x + -1x = -7x
10 + -7x = -5 + x + -1x

Combine like terms: x + -1x = 0
10 + -7x = -5 + 0
10 + -7x = -5

Add '-10' to each side of the equation.
10 + -10 + -7x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -5 + -10
-7x = -5 + -10

Combine like terms: -5 + -10 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143

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