-3(3x-1)+3x=3+5(2x-2)

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Solution for -3(3x-1)+3x=3+5(2x-2) equation:


Simplifying
-3(3x + -1) + 3x = 3 + 5(2x + -2)

Reorder the terms:
-3(-1 + 3x) + 3x = 3 + 5(2x + -2)
(-1 * -3 + 3x * -3) + 3x = 3 + 5(2x + -2)
(3 + -9x) + 3x = 3 + 5(2x + -2)

Combine like terms: -9x + 3x = -6x
3 + -6x = 3 + 5(2x + -2)

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

Combine like terms: 3 + -10 = -7
3 + -6x = -7 + 10x

Solving
3 + -6x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + -6x + -10x = -7 + 10x + -10x

Combine like terms: -6x + -10x = -16x
3 + -16x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -16x = -7 + 0
3 + -16x = -7

Add '-3' to each side of the equation.
3 + -3 + -16x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = -7 + -3
-16x = -7 + -3

Combine like terms: -7 + -3 = -10
-16x = -10

Divide each side by '-16'.
x = 0.625

Simplifying
x = 0.625

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