4(x+8)-x=-3+20(x+13)

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Solution for 4(x+8)-x=-3+20(x+13) equation:


Simplifying
4(x + 8) + -1x = -3 + 20(x + 13)

Reorder the terms:
4(8 + x) + -1x = -3 + 20(x + 13)
(8 * 4 + x * 4) + -1x = -3 + 20(x + 13)
(32 + 4x) + -1x = -3 + 20(x + 13)

Combine like terms: 4x + -1x = 3x
32 + 3x = -3 + 20(x + 13)

Reorder the terms:
32 + 3x = -3 + 20(13 + x)
32 + 3x = -3 + (13 * 20 + x * 20)
32 + 3x = -3 + (260 + 20x)

Combine like terms: -3 + 260 = 257
32 + 3x = 257 + 20x

Solving
32 + 3x = 257 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
32 + 3x + -20x = 257 + 20x + -20x

Combine like terms: 3x + -20x = -17x
32 + -17x = 257 + 20x + -20x

Combine like terms: 20x + -20x = 0
32 + -17x = 257 + 0
32 + -17x = 257

Add '-32' to each side of the equation.
32 + -32 + -17x = 257 + -32

Combine like terms: 32 + -32 = 0
0 + -17x = 257 + -32
-17x = 257 + -32

Combine like terms: 257 + -32 = 225
-17x = 225

Divide each side by '-17'.
x = -13.23529412

Simplifying
x = -13.23529412

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