-3(2x-5)+5(2x-5)=8(2x-5)-6(2x-5)

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Solution for -3(2x-5)+5(2x-5)=8(2x-5)-6(2x-5) equation: 


Simplifying
-3(2x + -5) + 5(2x + -5) = 8(2x + -5) + -6(2x + -5)

Reorder the terms:
-3(-5 + 2x) + 5(2x + -5) = 8(2x + -5) + -6(2x + -5)
(-5 * -3 + 2x * -3) + 5(2x + -5) = 8(2x + -5) + -6(2x + -5)
(15 + -6x) + 5(2x + -5) = 8(2x + -5) + -6(2x + -5)

Reorder the terms:
15 + -6x + 5(-5 + 2x) = 8(2x + -5) + -6(2x + -5)
15 + -6x + (-5 * 5 + 2x * 5) = 8(2x + -5) + -6(2x + -5)
15 + -6x + (-25 + 10x) = 8(2x + -5) + -6(2x + -5)

Reorder the terms:
15 + -25 + -6x + 10x = 8(2x + -5) + -6(2x + -5)

Combine like terms: 15 + -25 = -10
-10 + -6x + 10x = 8(2x + -5) + -6(2x + -5)

Combine like terms: -6x + 10x = 4x
-10 + 4x = 8(2x + -5) + -6(2x + -5)

Reorder the terms:
-10 + 4x = 8(-5 + 2x) + -6(2x + -5)
-10 + 4x = (-5 * 8 + 2x * 8) + -6(2x + -5)
-10 + 4x = (-40 + 16x) + -6(2x + -5)

Reorder the terms:
-10 + 4x = -40 + 16x + -6(-5 + 2x)
-10 + 4x = -40 + 16x + (-5 * -6 + 2x * -6)
-10 + 4x = -40 + 16x + (30 + -12x)

Reorder the terms:
-10 + 4x = -40 + 30 + 16x + -12x

Combine like terms: -40 + 30 = -10
-10 + 4x = -10 + 16x + -12x

Combine like terms: 16x + -12x = 4x
-10 + 4x = -10 + 4x

Add '10' to each side of the equation.
-10 + 10 + 4x = -10 + 10 + 4x

Combine like terms: -10 + 10 = 0
0 + 4x = -10 + 10 + 4x
4x = -10 + 10 + 4x

Combine like terms: -10 + 10 = 0
4x = 0 + 4x
4x = 4x

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

Combine like terms: 4x + -4x = 0
0 = 4x + -4x

Combine like terms: 4x + -4x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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