3(3x+7)-4(2x+5)=3(5x-9)-7(2x-4)

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Solution for 3(3x+7)-4(2x+5)=3(5x-9)-7(2x-4) equation: 


Simplifying
3(3x + 7) + -4(2x + 5) = 3(5x + -9) + -7(2x + -4)

Reorder the terms:
3(7 + 3x) + -4(2x + 5) = 3(5x + -9) + -7(2x + -4)
(7 * 3 + 3x * 3) + -4(2x + 5) = 3(5x + -9) + -7(2x + -4)
(21 + 9x) + -4(2x + 5) = 3(5x + -9) + -7(2x + -4)

Reorder the terms:
21 + 9x + -4(5 + 2x) = 3(5x + -9) + -7(2x + -4)
21 + 9x + (5 * -4 + 2x * -4) = 3(5x + -9) + -7(2x + -4)
21 + 9x + (-20 + -8x) = 3(5x + -9) + -7(2x + -4)

Reorder the terms:
21 + -20 + 9x + -8x = 3(5x + -9) + -7(2x + -4)

Combine like terms: 21 + -20 = 1
1 + 9x + -8x = 3(5x + -9) + -7(2x + -4)

Combine like terms: 9x + -8x = 1x
1 + 1x = 3(5x + -9) + -7(2x + -4)

Reorder the terms:
1 + 1x = 3(-9 + 5x) + -7(2x + -4)
1 + 1x = (-9 * 3 + 5x * 3) + -7(2x + -4)
1 + 1x = (-27 + 15x) + -7(2x + -4)

Reorder the terms:
1 + 1x = -27 + 15x + -7(-4 + 2x)
1 + 1x = -27 + 15x + (-4 * -7 + 2x * -7)
1 + 1x = -27 + 15x + (28 + -14x)

Reorder the terms:
1 + 1x = -27 + 28 + 15x + -14x

Combine like terms: -27 + 28 = 1
1 + 1x = 1 + 15x + -14x

Combine like terms: 15x + -14x = 1x
1 + 1x = 1 + 1x

Add '-1' to each side of the equation.
1 + -1 + 1x = 1 + -1 + 1x

Combine like terms: 1 + -1 = 0
0 + 1x = 1 + -1 + 1x
1x = 1 + -1 + 1x

Combine like terms: 1 + -1 = 0
1x = 0 + 1x
1x = 1x

Add '-1x' to each side of the equation.
1x + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
0 = 1x + -1x

Combine like terms: 1x + -1x = 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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