5x-3=2(3x-4)

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Solution for 5x-3=2(3x-4) equation:


Simplifying
5x + -3 = 2(3x + -4)

Reorder the terms:
-3 + 5x = 2(3x + -4)

Reorder the terms:
-3 + 5x = 2(-4 + 3x)
-3 + 5x = (-4 * 2 + 3x * 2)
-3 + 5x = (-8 + 6x)

Solving
-3 + 5x = -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.
-3 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-3 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -1x = -8 + 0
-3 + -1x = -8

Add '3' to each side of the equation.
-3 + 3 + -1x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -8 + 3
-1x = -8 + 3

Combine like terms: -8 + 3 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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