-3(5x-1)+2x=-7(x+1)

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Solution for -3(5x-1)+2x=-7(x+1) equation:


Simplifying
-3(5x + -1) + 2x = -7(x + 1)

Reorder the terms:
-3(-1 + 5x) + 2x = -7(x + 1)
(-1 * -3 + 5x * -3) + 2x = -7(x + 1)
(3 + -15x) + 2x = -7(x + 1)

Combine like terms: -15x + 2x = -13x
3 + -13x = -7(x + 1)

Reorder the terms:
3 + -13x = -7(1 + x)
3 + -13x = (1 * -7 + x * -7)
3 + -13x = (-7 + -7x)

Solving
3 + -13x = -7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + -13x + 7x = -7 + -7x + 7x

Combine like terms: -13x + 7x = -6x
3 + -6x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + -6x = -7 + 0
3 + -6x = -7

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

Combine like terms: 3 + -3 = 0
0 + -6x = -7 + -3
-6x = -7 + -3

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

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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