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

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


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

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

Reorder the terms:
-20 + 8x = -3(-5 + x)
-20 + 8x = (-5 * -3 + x * -3)
-20 + 8x = (15 + -3x)

Solving
-20 + 8x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 8x + 3x = 15 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-20 + 11x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 11x = 15 + 0
-20 + 11x = 15

Add '20' to each side of the equation.
-20 + 20 + 11x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 15 + 20
11x = 15 + 20

Combine like terms: 15 + 20 = 35
11x = 35

Divide each side by '11'.
x = 3.181818182

Simplifying
x = 3.181818182

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