3(x-1)+4=3(3x-1)-x

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Solution for 3(x-1)+4=3(3x-1)-x equation:


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

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

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

Combine like terms: -3 + 4 = 1
1 + 3x = 3(3x + -1) + -1x

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

Combine like terms: 9x + -1x = 8x
1 + 3x = -3 + 8x

Solving
1 + 3x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 3x + -8x = -3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
1 + -5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -5x = -3 + 0
1 + -5x = -3

Add '-1' to each side of the equation.
1 + -1 + -5x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -3 + -1
-5x = -3 + -1

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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