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

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


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

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

Reorder the terms:
-5 + 3x = 4(-5 + 2x)
-5 + 3x = (-5 * 4 + 2x * 4)
-5 + 3x = (-20 + 8x)

Solving
-5 + 3x = -20 + 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.
-5 + 3x + -8x = -20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-5 + -5x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -5x = -20 + 0
-5 + -5x = -20

Add '5' to each side of the equation.
-5 + 5 + -5x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -20 + 5
-5x = -20 + 5

Combine like terms: -20 + 5 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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