2(2x-5)-3(4-x)=7x-20

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Solution for 2(2x-5)-3(4-x)=7x-20 equation: 


Simplifying
2(2x + -5) + -3(4 + -1x) = 7x + -20

Reorder the terms:
2(-5 + 2x) + -3(4 + -1x) = 7x + -20
(-5 * 2 + 2x * 2) + -3(4 + -1x) = 7x + -20
(-10 + 4x) + -3(4 + -1x) = 7x + -20
-10 + 4x + (4 * -3 + -1x * -3) = 7x + -20
-10 + 4x + (-12 + 3x) = 7x + -20

Reorder the terms:
-10 + -12 + 4x + 3x = 7x + -20

Combine like terms: -10 + -12 = -22
-22 + 4x + 3x = 7x + -20

Combine like terms: 4x + 3x = 7x
-22 + 7x = 7x + -20

Reorder the terms:
-22 + 7x = -20 + 7x

Add '-7x' to each side of the equation.
-22 + 7x + -7x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + 0 = -20 + 7x + -7x
-22 = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 = -20 + 0
-22 = -20

Solving
-22 = -20

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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