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

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


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

Reorder the terms:
-2 + 6x = 5(3 + -2x)
-2 + 6x = (3 * 5 + -2x * 5)
-2 + 6x = (15 + -10x)

Solving
-2 + 6x = 15 + -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.
-2 + 6x + 10x = 15 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-2 + 16x = 15 + -10x + 10x

Combine like terms: -10x + 10x = 0
-2 + 16x = 15 + 0
-2 + 16x = 15

Add '2' to each side of the equation.
-2 + 2 + 16x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + 16x = 15 + 2
16x = 15 + 2

Combine like terms: 15 + 2 = 17
16x = 17

Divide each side by '16'.
x = 1.0625

Simplifying
x = 1.0625

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