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

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


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

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

Reorder the terms:
6 + -3x = 5(-1 + 2x)
6 + -3x = (-1 * 5 + 2x * 5)
6 + -3x = (-5 + 10x)

Solving
6 + -3x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -3x + -10x = -5 + 10x + -10x

Combine like terms: -3x + -10x = -13x
6 + -13x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -13x = -5 + 0
6 + -13x = -5

Add '-6' to each side of the equation.
6 + -6 + -13x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -5 + -6
-13x = -5 + -6

Combine like terms: -5 + -6 = -11
-13x = -11

Divide each side by '-13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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