6(2x-9)+2(40-3x)=3(2x+5)+11

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Solution for 6(2x-9)+2(40-3x)=3(2x+5)+11 equation:


Simplifying
6(2x + -9) + 2(40 + -3x) = 3(2x + 5) + 11

Reorder the terms:
6(-9 + 2x) + 2(40 + -3x) = 3(2x + 5) + 11
(-9 * 6 + 2x * 6) + 2(40 + -3x) = 3(2x + 5) + 11
(-54 + 12x) + 2(40 + -3x) = 3(2x + 5) + 11
-54 + 12x + (40 * 2 + -3x * 2) = 3(2x + 5) + 11
-54 + 12x + (80 + -6x) = 3(2x + 5) + 11

Reorder the terms:
-54 + 80 + 12x + -6x = 3(2x + 5) + 11

Combine like terms: -54 + 80 = 26
26 + 12x + -6x = 3(2x + 5) + 11

Combine like terms: 12x + -6x = 6x
26 + 6x = 3(2x + 5) + 11

Reorder the terms:
26 + 6x = 3(5 + 2x) + 11
26 + 6x = (5 * 3 + 2x * 3) + 11
26 + 6x = (15 + 6x) + 11

Reorder the terms:
26 + 6x = 15 + 11 + 6x

Combine like terms: 15 + 11 = 26
26 + 6x = 26 + 6x

Add '-26' to each side of the equation.
26 + -26 + 6x = 26 + -26 + 6x

Combine like terms: 26 + -26 = 0
0 + 6x = 26 + -26 + 6x
6x = 26 + -26 + 6x

Combine like terms: 26 + -26 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 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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