5(3-2x)+2x=6-2(3x-1)

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


Simplifying
5(3 + -2x) + 2x = 6 + -2(3x + -1)
(3 * 5 + -2x * 5) + 2x = 6 + -2(3x + -1)
(15 + -10x) + 2x = 6 + -2(3x + -1)

Combine like terms: -10x + 2x = -8x
15 + -8x = 6 + -2(3x + -1)

Reorder the terms:
15 + -8x = 6 + -2(-1 + 3x)
15 + -8x = 6 + (-1 * -2 + 3x * -2)
15 + -8x = 6 + (2 + -6x)

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

Solving
15 + -8x = 8 + -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.
15 + -8x + 6x = 8 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
15 + -2x = 8 + 0
15 + -2x = 8

Add '-15' to each side of the equation.
15 + -15 + -2x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 8 + -15
-2x = 8 + -15

Combine like terms: 8 + -15 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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