3(2x+3)-(-x-2)=4(2x+5)-(x+9)

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Solution for 3(2x+3)-(-x-2)=4(2x+5)-(x+9) equation: 


Simplifying
3(2x + 3) + -1(-1x + -2) = 4(2x + 5) + -1(x + 9)

Reorder the terms:
3(3 + 2x) + -1(-1x + -2) = 4(2x + 5) + -1(x + 9)
(3 * 3 + 2x * 3) + -1(-1x + -2) = 4(2x + 5) + -1(x + 9)
(9 + 6x) + -1(-1x + -2) = 4(2x + 5) + -1(x + 9)

Reorder the terms:
9 + 6x + -1(-2 + -1x) = 4(2x + 5) + -1(x + 9)
9 + 6x + (-2 * -1 + -1x * -1) = 4(2x + 5) + -1(x + 9)
9 + 6x + (2 + 1x) = 4(2x + 5) + -1(x + 9)

Reorder the terms:
9 + 2 + 6x + 1x = 4(2x + 5) + -1(x + 9)

Combine like terms: 9 + 2 = 11
11 + 6x + 1x = 4(2x + 5) + -1(x + 9)

Combine like terms: 6x + 1x = 7x
11 + 7x = 4(2x + 5) + -1(x + 9)

Reorder the terms:
11 + 7x = 4(5 + 2x) + -1(x + 9)
11 + 7x = (5 * 4 + 2x * 4) + -1(x + 9)
11 + 7x = (20 + 8x) + -1(x + 9)

Reorder the terms:
11 + 7x = 20 + 8x + -1(9 + x)
11 + 7x = 20 + 8x + (9 * -1 + x * -1)
11 + 7x = 20 + 8x + (-9 + -1x)

Reorder the terms:
11 + 7x = 20 + -9 + 8x + -1x

Combine like terms: 20 + -9 = 11
11 + 7x = 11 + 8x + -1x

Combine like terms: 8x + -1x = 7x
11 + 7x = 11 + 7x

Add '-11' to each side of the equation.
11 + -11 + 7x = 11 + -11 + 7x

Combine like terms: 11 + -11 = 0
0 + 7x = 11 + -11 + 7x
7x = 11 + -11 + 7x

Combine like terms: 11 + -11 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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