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

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


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

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

Reorder the terms:
-8 + 4x = 3(-5 + 5x)
-8 + 4x = (-5 * 3 + 5x * 3)
-8 + 4x = (-15 + 15x)

Solving
-8 + 4x = -15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-8 + 4x + -15x = -15 + 15x + -15x

Combine like terms: 4x + -15x = -11x
-8 + -11x = -15 + 15x + -15x

Combine like terms: 15x + -15x = 0
-8 + -11x = -15 + 0
-8 + -11x = -15

Add '8' to each side of the equation.
-8 + 8 + -11x = -15 + 8

Combine like terms: -8 + 8 = 0
0 + -11x = -15 + 8
-11x = -15 + 8

Combine like terms: -15 + 8 = -7
-11x = -7

Divide each side by '-11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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