5+3(2x-1)=8x-2

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Solution for 5+3(2x-1)=8x-2 equation:


Simplifying
5 + 3(2x + -1) = 8x + -2

Reorder the terms:
5 + 3(-1 + 2x) = 8x + -2
5 + (-1 * 3 + 2x * 3) = 8x + -2
5 + (-3 + 6x) = 8x + -2

Combine like terms: 5 + -3 = 2
2 + 6x = 8x + -2

Reorder the terms:
2 + 6x = -2 + 8x

Solving
2 + 6x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 6x + -8x = -2 + 8x + -8x

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

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

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

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

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

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

Simplifying
x = 2

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