3(4x-6)=5(x-7)+7x+17

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Solution for 3(4x-6)=5(x-7)+7x+17 equation:


Simplifying
3(4x + -6) = 5(x + -7) + 7x + 17

Reorder the terms:
3(-6 + 4x) = 5(x + -7) + 7x + 17
(-6 * 3 + 4x * 3) = 5(x + -7) + 7x + 17
(-18 + 12x) = 5(x + -7) + 7x + 17

Reorder the terms:
-18 + 12x = 5(-7 + x) + 7x + 17
-18 + 12x = (-7 * 5 + x * 5) + 7x + 17
-18 + 12x = (-35 + 5x) + 7x + 17

Reorder the terms:
-18 + 12x = -35 + 17 + 5x + 7x

Combine like terms: -35 + 17 = -18
-18 + 12x = -18 + 5x + 7x

Combine like terms: 5x + 7x = 12x
-18 + 12x = -18 + 12x

Add '18' to each side of the equation.
-18 + 18 + 12x = -18 + 18 + 12x

Combine like terms: -18 + 18 = 0
0 + 12x = -18 + 18 + 12x
12x = -18 + 18 + 12x

Combine like terms: -18 + 18 = 0
12x = 0 + 12x
12x = 12x

Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0
0 = 12x + -12x

Combine like terms: 12x + -12x = 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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