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

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


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

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

Reorder the terms:
-3 + 4x = 5(-3 + 2x)
-3 + 4x = (-3 * 5 + 2x * 5)
-3 + 4x = (-15 + 10x)

Solving
-3 + 4x = -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.
-3 + 4x + -10x = -15 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-3 + -6x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -6x = -15 + 0
-3 + -6x = -15

Add '3' to each side of the equation.
-3 + 3 + -6x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -15 + 3
-6x = -15 + 3

Combine like terms: -15 + 3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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