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

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


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

Reorder the terms:
5(3 + 2x) + -2(x + 3) = 3(4x + -1) + -4(x + -3)
(3 * 5 + 2x * 5) + -2(x + 3) = 3(4x + -1) + -4(x + -3)
(15 + 10x) + -2(x + 3) = 3(4x + -1) + -4(x + -3)

Reorder the terms:
15 + 10x + -2(3 + x) = 3(4x + -1) + -4(x + -3)
15 + 10x + (3 * -2 + x * -2) = 3(4x + -1) + -4(x + -3)
15 + 10x + (-6 + -2x) = 3(4x + -1) + -4(x + -3)

Reorder the terms:
15 + -6 + 10x + -2x = 3(4x + -1) + -4(x + -3)

Combine like terms: 15 + -6 = 9
9 + 10x + -2x = 3(4x + -1) + -4(x + -3)

Combine like terms: 10x + -2x = 8x
9 + 8x = 3(4x + -1) + -4(x + -3)

Reorder the terms:
9 + 8x = 3(-1 + 4x) + -4(x + -3)
9 + 8x = (-1 * 3 + 4x * 3) + -4(x + -3)
9 + 8x = (-3 + 12x) + -4(x + -3)

Reorder the terms:
9 + 8x = -3 + 12x + -4(-3 + x)
9 + 8x = -3 + 12x + (-3 * -4 + x * -4)
9 + 8x = -3 + 12x + (12 + -4x)

Reorder the terms:
9 + 8x = -3 + 12 + 12x + -4x

Combine like terms: -3 + 12 = 9
9 + 8x = 9 + 12x + -4x

Combine like terms: 12x + -4x = 8x
9 + 8x = 9 + 8x

Add '-9' to each side of the equation.
9 + -9 + 8x = 9 + -9 + 8x

Combine like terms: 9 + -9 = 0
0 + 8x = 9 + -9 + 8x
8x = 9 + -9 + 8x

Combine like terms: 9 + -9 = 0
8x = 0 + 8x
8x = 8x

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

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

Combine like terms: 8x + -8x = 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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