4-2(x+3)=-5(3x-1)

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Solution for 4-2(x+3)=-5(3x-1) equation:


Simplifying
4 + -2(x + 3) = -5(3x + -1)

Reorder the terms:
4 + -2(3 + x) = -5(3x + -1)
4 + (3 * -2 + x * -2) = -5(3x + -1)
4 + (-6 + -2x) = -5(3x + -1)

Combine like terms: 4 + -6 = -2
-2 + -2x = -5(3x + -1)

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

Solving
-2 + -2x = 5 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-2 + -2x + 15x = 5 + -15x + 15x

Combine like terms: -2x + 15x = 13x
-2 + 13x = 5 + -15x + 15x

Combine like terms: -15x + 15x = 0
-2 + 13x = 5 + 0
-2 + 13x = 5

Add '2' to each side of the equation.
-2 + 2 + 13x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 5 + 2
13x = 5 + 2

Combine like terms: 5 + 2 = 7
13x = 7

Divide each side by '13'.
x = 0.5384615385

Simplifying
x = 0.5384615385

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