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

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


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

Reorder the terms:
5(-5 + x) + -1(4x + 5) = 2(5x + 3)
(-5 * 5 + x * 5) + -1(4x + 5) = 2(5x + 3)
(-25 + 5x) + -1(4x + 5) = 2(5x + 3)

Reorder the terms:
-25 + 5x + -1(5 + 4x) = 2(5x + 3)
-25 + 5x + (5 * -1 + 4x * -1) = 2(5x + 3)
-25 + 5x + (-5 + -4x) = 2(5x + 3)

Reorder the terms:
-25 + -5 + 5x + -4x = 2(5x + 3)

Combine like terms: -25 + -5 = -30
-30 + 5x + -4x = 2(5x + 3)

Combine like terms: 5x + -4x = 1x
-30 + 1x = 2(5x + 3)

Reorder the terms:
-30 + 1x = 2(3 + 5x)
-30 + 1x = (3 * 2 + 5x * 2)
-30 + 1x = (6 + 10x)

Solving
-30 + 1x = 6 + 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.
-30 + 1x + -10x = 6 + 10x + -10x

Combine like terms: 1x + -10x = -9x
-30 + -9x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-30 + -9x = 6 + 0
-30 + -9x = 6

Add '30' to each side of the equation.
-30 + 30 + -9x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + -9x = 6 + 30
-9x = 6 + 30

Combine like terms: 6 + 30 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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