3(5x+6)=4(3x+5)+3x-2

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Solution for 3(5x+6)=4(3x+5)+3x-2 equation: 


Simplifying
3(5x + 6) = 4(3x + 5) + 3x + -2

Reorder the terms:
3(6 + 5x) = 4(3x + 5) + 3x + -2
(6 * 3 + 5x * 3) = 4(3x + 5) + 3x + -2
(18 + 15x) = 4(3x + 5) + 3x + -2

Reorder the terms:
18 + 15x = 4(5 + 3x) + 3x + -2
18 + 15x = (5 * 4 + 3x * 4) + 3x + -2
18 + 15x = (20 + 12x) + 3x + -2

Reorder the terms:
18 + 15x = 20 + -2 + 12x + 3x

Combine like terms: 20 + -2 = 18
18 + 15x = 18 + 12x + 3x

Combine like terms: 12x + 3x = 15x
18 + 15x = 18 + 15x

Add '-18' to each side of the equation.
18 + -18 + 15x = 18 + -18 + 15x

Combine like terms: 18 + -18 = 0
0 + 15x = 18 + -18 + 15x
15x = 18 + -18 + 15x

Combine like terms: 18 + -18 = 0
15x = 0 + 15x
15x = 15x

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

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

Combine like terms: 15x + -15x = 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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