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

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


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

Reorder the terms:
5(-5 + x) = 2(x + 2) + -1(-4 + 5x)
(-5 * 5 + x * 5) = 2(x + 2) + -1(-4 + 5x)
(-25 + 5x) = 2(x + 2) + -1(-4 + 5x)

Reorder the terms:
-25 + 5x = 2(2 + x) + -1(-4 + 5x)
-25 + 5x = (2 * 2 + x * 2) + -1(-4 + 5x)
-25 + 5x = (4 + 2x) + -1(-4 + 5x)
-25 + 5x = 4 + 2x + (-4 * -1 + 5x * -1)
-25 + 5x = 4 + 2x + (4 + -5x)

Reorder the terms:
-25 + 5x = 4 + 4 + 2x + -5x

Combine like terms: 4 + 4 = 8
-25 + 5x = 8 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-25 + 5x = 8 + -3x

Solving
-25 + 5x = 8 + -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.
-25 + 5x + 3x = 8 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-25 + 8x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-25 + 8x = 8 + 0
-25 + 8x = 8

Add '25' to each side of the equation.
-25 + 25 + 8x = 8 + 25

Combine like terms: -25 + 25 = 0
0 + 8x = 8 + 25
8x = 8 + 25

Combine like terms: 8 + 25 = 33
8x = 33

Divide each side by '8'.
x = 4.125

Simplifying
x = 4.125

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