5(x-1)-7x=7+3(3x-1)

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Solution for 5(x-1)-7x=7+3(3x-1) equation:


Simplifying
5(x + -1) + -7x = 7 + 3(3x + -1)

Reorder the terms:
5(-1 + x) + -7x = 7 + 3(3x + -1)
(-1 * 5 + x * 5) + -7x = 7 + 3(3x + -1)
(-5 + 5x) + -7x = 7 + 3(3x + -1)

Combine like terms: 5x + -7x = -2x
-5 + -2x = 7 + 3(3x + -1)

Reorder the terms:
-5 + -2x = 7 + 3(-1 + 3x)
-5 + -2x = 7 + (-1 * 3 + 3x * 3)
-5 + -2x = 7 + (-3 + 9x)

Combine like terms: 7 + -3 = 4
-5 + -2x = 4 + 9x

Solving
-5 + -2x = 4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + -2x + -9x = 4 + 9x + -9x

Combine like terms: -2x + -9x = -11x
-5 + -11x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -11x = 4 + 0
-5 + -11x = 4

Add '5' to each side of the equation.
-5 + 5 + -11x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -11x = 4 + 5
-11x = 4 + 5

Combine like terms: 4 + 5 = 9
-11x = 9

Divide each side by '-11'.
x = -0.8181818182

Simplifying
x = -0.8181818182

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