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

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


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

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

Reorder the terms:
8 + 3x = 2(-3 + 5x)
8 + 3x = (-3 * 2 + 5x * 2)
8 + 3x = (-6 + 10x)

Solving
8 + 3x = -6 + 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.
8 + 3x + -10x = -6 + 10x + -10x

Combine like terms: 3x + -10x = -7x
8 + -7x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -7x = -6 + 0
8 + -7x = -6

Add '-8' to each side of the equation.
8 + -8 + -7x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -6 + -8
-7x = -6 + -8

Combine like terms: -6 + -8 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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