7-5(x-3)-4(5-2x)=6(3x+1)-5(3x+2)+6

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Solution for 7-5(x-3)-4(5-2x)=6(3x+1)-5(3x+2)+6 equation: 


Simplifying
7 + -5(x + -3) + -4(5 + -2x) = 6(3x + 1) + -5(3x + 2) + 6

Reorder the terms:
7 + -5(-3 + x) + -4(5 + -2x) = 6(3x + 1) + -5(3x + 2) + 6
7 + (-3 * -5 + x * -5) + -4(5 + -2x) = 6(3x + 1) + -5(3x + 2) + 6
7 + (15 + -5x) + -4(5 + -2x) = 6(3x + 1) + -5(3x + 2) + 6
7 + 15 + -5x + (5 * -4 + -2x * -4) = 6(3x + 1) + -5(3x + 2) + 6
7 + 15 + -5x + (-20 + 8x) = 6(3x + 1) + -5(3x + 2) + 6

Reorder the terms:
7 + 15 + -20 + -5x + 8x = 6(3x + 1) + -5(3x + 2) + 6

Combine like terms: 7 + 15 = 22
22 + -20 + -5x + 8x = 6(3x + 1) + -5(3x + 2) + 6

Combine like terms: 22 + -20 = 2
2 + -5x + 8x = 6(3x + 1) + -5(3x + 2) + 6

Combine like terms: -5x + 8x = 3x
2 + 3x = 6(3x + 1) + -5(3x + 2) + 6

Reorder the terms:
2 + 3x = 6(1 + 3x) + -5(3x + 2) + 6
2 + 3x = (1 * 6 + 3x * 6) + -5(3x + 2) + 6
2 + 3x = (6 + 18x) + -5(3x + 2) + 6

Reorder the terms:
2 + 3x = 6 + 18x + -5(2 + 3x) + 6
2 + 3x = 6 + 18x + (2 * -5 + 3x * -5) + 6
2 + 3x = 6 + 18x + (-10 + -15x) + 6

Reorder the terms:
2 + 3x = 6 + -10 + 6 + 18x + -15x

Combine like terms: 6 + -10 = -4
2 + 3x = -4 + 6 + 18x + -15x

Combine like terms: -4 + 6 = 2
2 + 3x = 2 + 18x + -15x

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
0 + 3x = 2 + -2 + 3x
3x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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