3(x-2)+4(x-5)=7x-26

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Solution for 3(x-2)+4(x-5)=7x-26 equation:


Simplifying
3(x + -2) + 4(x + -5) = 7x + -26

Reorder the terms:
3(-2 + x) + 4(x + -5) = 7x + -26
(-2 * 3 + x * 3) + 4(x + -5) = 7x + -26
(-6 + 3x) + 4(x + -5) = 7x + -26

Reorder the terms:
-6 + 3x + 4(-5 + x) = 7x + -26
-6 + 3x + (-5 * 4 + x * 4) = 7x + -26
-6 + 3x + (-20 + 4x) = 7x + -26

Reorder the terms:
-6 + -20 + 3x + 4x = 7x + -26

Combine like terms: -6 + -20 = -26
-26 + 3x + 4x = 7x + -26

Combine like terms: 3x + 4x = 7x
-26 + 7x = 7x + -26

Reorder the terms:
-26 + 7x = -26 + 7x

Add '26' to each side of the equation.
-26 + 26 + 7x = -26 + 26 + 7x

Combine like terms: -26 + 26 = 0
0 + 7x = -26 + 26 + 7x
7x = -26 + 26 + 7x

Combine like terms: -26 + 26 = 0
7x = 0 + 7x
7x = 7x

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

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

Combine like terms: 7x + -7x = 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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