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

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


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

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

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

Combine like terms: -3 + 3 = 0
0 + 6x = 2(x + -5)
6x = 2(x + -5)

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

Solving
6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
4x = -10 + 0
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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