4(x-5)-x+7=3x-13

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Solution for 4(x-5)-x+7=3x-13 equation:


Simplifying
4(x + -5) + -1x + 7 = 3x + -13

Reorder the terms:
4(-5 + x) + -1x + 7 = 3x + -13
(-5 * 4 + x * 4) + -1x + 7 = 3x + -13
(-20 + 4x) + -1x + 7 = 3x + -13

Reorder the terms:
-20 + 7 + 4x + -1x = 3x + -13

Combine like terms: -20 + 7 = -13
-13 + 4x + -1x = 3x + -13

Combine like terms: 4x + -1x = 3x
-13 + 3x = 3x + -13

Reorder the terms:
-13 + 3x = -13 + 3x

Add '13' to each side of the equation.
-13 + 13 + 3x = -13 + 13 + 3x

Combine like terms: -13 + 13 = 0
0 + 3x = -13 + 13 + 3x
3x = -13 + 13 + 3x

Combine like terms: -13 + 13 = 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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