4(3x-2)-2(5x-1)=5-15x

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Solution for 4(3x-2)-2(5x-1)=5-15x equation:


Simplifying
4(3x + -2) + -2(5x + -1) = 5 + -15x

Reorder the terms:
4(-2 + 3x) + -2(5x + -1) = 5 + -15x
(-2 * 4 + 3x * 4) + -2(5x + -1) = 5 + -15x
(-8 + 12x) + -2(5x + -1) = 5 + -15x

Reorder the terms:
-8 + 12x + -2(-1 + 5x) = 5 + -15x
-8 + 12x + (-1 * -2 + 5x * -2) = 5 + -15x
-8 + 12x + (2 + -10x) = 5 + -15x

Reorder the terms:
-8 + 2 + 12x + -10x = 5 + -15x

Combine like terms: -8 + 2 = -6
-6 + 12x + -10x = 5 + -15x

Combine like terms: 12x + -10x = 2x
-6 + 2x = 5 + -15x

Solving
-6 + 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.
-6 + 2x + 15x = 5 + -15x + 15x

Combine like terms: 2x + 15x = 17x
-6 + 17x = 5 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 17x = 5 + 0
-6 + 17x = 5

Add '6' to each side of the equation.
-6 + 6 + 17x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 5 + 6
17x = 5 + 6

Combine like terms: 5 + 6 = 11
17x = 11

Divide each side by '17'.
x = 0.6470588235

Simplifying
x = 0.6470588235

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