3(2x-1)-4(3-5x)=6x-15

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Solution for 3(2x-1)-4(3-5x)=6x-15 equation:


Simplifying
3(2x + -1) + -4(3 + -5x) = 6x + -15

Reorder the terms:
3(-1 + 2x) + -4(3 + -5x) = 6x + -15
(-1 * 3 + 2x * 3) + -4(3 + -5x) = 6x + -15
(-3 + 6x) + -4(3 + -5x) = 6x + -15
-3 + 6x + (3 * -4 + -5x * -4) = 6x + -15
-3 + 6x + (-12 + 20x) = 6x + -15

Reorder the terms:
-3 + -12 + 6x + 20x = 6x + -15

Combine like terms: -3 + -12 = -15
-15 + 6x + 20x = 6x + -15

Combine like terms: 6x + 20x = 26x
-15 + 26x = 6x + -15

Reorder the terms:
-15 + 26x = -15 + 6x

Add '15' to each side of the equation.
-15 + 15 + 26x = -15 + 15 + 6x

Combine like terms: -15 + 15 = 0
0 + 26x = -15 + 15 + 6x
26x = -15 + 15 + 6x

Combine like terms: -15 + 15 = 0
26x = 0 + 6x
26x = 6x

Solving
26x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
26x + -6x = 6x + -6x

Combine like terms: 26x + -6x = 20x
20x = 6x + -6x

Combine like terms: 6x + -6x = 0
20x = 0

Divide each side by '20'.
x = 0.0

Simplifying
x = 0.0

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