53-(4x+3)=4(x+8)+x

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Solution for 53-(4x+3)=4(x+8)+x equation: 


Simplifying
53 + -1(4x + 3) = 4(x + 8) + x

Reorder the terms:
53 + -1(3 + 4x) = 4(x + 8) + x
53 + (3 * -1 + 4x * -1) = 4(x + 8) + x
53 + (-3 + -4x) = 4(x + 8) + x

Combine like terms: 53 + -3 = 50
50 + -4x = 4(x + 8) + x

Reorder the terms:
50 + -4x = 4(8 + x) + x
50 + -4x = (8 * 4 + x * 4) + x
50 + -4x = (32 + 4x) + x

Combine like terms: 4x + x = 5x
50 + -4x = 32 + 5x

Solving
50 + -4x = 32 + 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.
50 + -4x + -5x = 32 + 5x + -5x

Combine like terms: -4x + -5x = -9x
50 + -9x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
50 + -9x = 32 + 0
50 + -9x = 32

Add '-50' to each side of the equation.
50 + -50 + -9x = 32 + -50

Combine like terms: 50 + -50 = 0
0 + -9x = 32 + -50
-9x = 32 + -50

Combine like terms: 32 + -50 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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