57-(4x+13)=4(x+2)+x

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Solution for 57-(4x+13)=4(x+2)+x equation:


Simplifying
57 + -1(4x + 13) = 4(x + 2) + x

Reorder the terms:
57 + -1(13 + 4x) = 4(x + 2) + x
57 + (13 * -1 + 4x * -1) = 4(x + 2) + x
57 + (-13 + -4x) = 4(x + 2) + x

Combine like terms: 57 + -13 = 44
44 + -4x = 4(x + 2) + x

Reorder the terms:
44 + -4x = 4(2 + x) + x
44 + -4x = (2 * 4 + x * 4) + x
44 + -4x = (8 + 4x) + x

Combine like terms: 4x + x = 5x
44 + -4x = 8 + 5x

Solving
44 + -4x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
44 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
44 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
44 + -9x = 8 + 0
44 + -9x = 8

Add '-44' to each side of the equation.
44 + -44 + -9x = 8 + -44

Combine like terms: 44 + -44 = 0
0 + -9x = 8 + -44
-9x = 8 + -44

Combine like terms: 8 + -44 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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