5(x-3)-4(x+2)=8+x

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Solution for 5(x-3)-4(x+2)=8+x equation:


Simplifying
5(x + -3) + -4(x + 2) = 8 + x

Reorder the terms:
5(-3 + x) + -4(x + 2) = 8 + x
(-3 * 5 + x * 5) + -4(x + 2) = 8 + x
(-15 + 5x) + -4(x + 2) = 8 + x

Reorder the terms:
-15 + 5x + -4(2 + x) = 8 + x
-15 + 5x + (2 * -4 + x * -4) = 8 + x
-15 + 5x + (-8 + -4x) = 8 + x

Reorder the terms:
-15 + -8 + 5x + -4x = 8 + x

Combine like terms: -15 + -8 = -23
-23 + 5x + -4x = 8 + x

Combine like terms: 5x + -4x = 1x
-23 + 1x = 8 + x

Solving
-23 + 1x = 8 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-23 + 1x + -1x = 8 + x + -1x

Combine like terms: 1x + -1x = 0
-23 + 0 = 8 + x + -1x
-23 = 8 + x + -1x

Combine like terms: x + -1x = 0
-23 = 8 + 0
-23 = 8

Add '23' to each side of the equation.
-23 + 23 = 8 + 23

Combine like terms: -23 + 23 = 0
0 = 8 + 23

Combine like terms: 8 + 23 = 31
0 = 31

Simplifying
0 = 31

Combine like terms: 0 + -31 = -31
-31 = 31 + -31

Combine like terms: 31 + -31 = 0
-31 = 0

The solution to this equation could not be determined.

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