5+4(5x-5)=8-3(2x+1)

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Solution for 5+4(5x-5)=8-3(2x+1) equation:


Simplifying
5 + 4(5x + -5) = 8 + -3(2x + 1)

Reorder the terms:
5 + 4(-5 + 5x) = 8 + -3(2x + 1)
5 + (-5 * 4 + 5x * 4) = 8 + -3(2x + 1)
5 + (-20 + 20x) = 8 + -3(2x + 1)

Combine like terms: 5 + -20 = -15
-15 + 20x = 8 + -3(2x + 1)

Reorder the terms:
-15 + 20x = 8 + -3(1 + 2x)
-15 + 20x = 8 + (1 * -3 + 2x * -3)
-15 + 20x = 8 + (-3 + -6x)

Combine like terms: 8 + -3 = 5
-15 + 20x = 5 + -6x

Solving
-15 + 20x = 5 + -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.
-15 + 20x + 6x = 5 + -6x + 6x

Combine like terms: 20x + 6x = 26x
-15 + 26x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 26x = 5 + 0
-15 + 26x = 5

Add '15' to each side of the equation.
-15 + 15 + 26x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 26x = 5 + 15
26x = 5 + 15

Combine like terms: 5 + 15 = 20
26x = 20

Divide each side by '26'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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