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

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


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

Combine like terms: -2 + 3 = 1
5(1) + (2x + -5) = 4(x + -4)

Multiply 5 * 1
5 + (2x + -5) = 4(x + -4)

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

Remove parenthesis around (-5 + 2x)
5 + -5 + 2x = 4(x + -4)

Combine like terms: 5 + -5 = 0
0 + 2x = 4(x + -4)
2x = 4(x + -4)

Reorder the terms:
2x = 4(-4 + x)
2x = (-4 * 4 + x * 4)
2x = (-16 + 4x)

Solving
2x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = -16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = -16 + 0
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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