4(x-5)-2(x+3)=2(x-13)

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Solution for 4(x-5)-2(x+3)=2(x-13) equation:


Simplifying
4(x + -5) + -2(x + 3) = 2(x + -13)

Reorder the terms:
4(-5 + x) + -2(x + 3) = 2(x + -13)
(-5 * 4 + x * 4) + -2(x + 3) = 2(x + -13)
(-20 + 4x) + -2(x + 3) = 2(x + -13)

Reorder the terms:
-20 + 4x + -2(3 + x) = 2(x + -13)
-20 + 4x + (3 * -2 + x * -2) = 2(x + -13)
-20 + 4x + (-6 + -2x) = 2(x + -13)

Reorder the terms:
-20 + -6 + 4x + -2x = 2(x + -13)

Combine like terms: -20 + -6 = -26
-26 + 4x + -2x = 2(x + -13)

Combine like terms: 4x + -2x = 2x
-26 + 2x = 2(x + -13)

Reorder the terms:
-26 + 2x = 2(-13 + x)
-26 + 2x = (-13 * 2 + x * 2)
-26 + 2x = (-26 + 2x)

Add '26' to each side of the equation.
-26 + 26 + 2x = -26 + 26 + 2x

Combine like terms: -26 + 26 = 0
0 + 2x = -26 + 26 + 2x
2x = -26 + 26 + 2x

Combine like terms: -26 + 26 = 0
2x = 0 + 2x
2x = 2x

Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
0 = 2x + -2x

Combine like terms: 2x + -2x = 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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