2(13+2x)-5+4(3-5x)=2(x+8)

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Solution for 2(13+2x)-5+4(3-5x)=2(x+8) equation:


Simplifying
2(13 + 2x) + -5 + 4(3 + -5x) = 2(x + 8)
(13 * 2 + 2x * 2) + -5 + 4(3 + -5x) = 2(x + 8)
(26 + 4x) + -5 + 4(3 + -5x) = 2(x + 8)
26 + 4x + -5 + (3 * 4 + -5x * 4) = 2(x + 8)
26 + 4x + -5 + (12 + -20x) = 2(x + 8)

Reorder the terms:
26 + -5 + 12 + 4x + -20x = 2(x + 8)

Combine like terms: 26 + -5 = 21
21 + 12 + 4x + -20x = 2(x + 8)

Combine like terms: 21 + 12 = 33
33 + 4x + -20x = 2(x + 8)

Combine like terms: 4x + -20x = -16x
33 + -16x = 2(x + 8)

Reorder the terms:
33 + -16x = 2(8 + x)
33 + -16x = (8 * 2 + x * 2)
33 + -16x = (16 + 2x)

Solving
33 + -16x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
33 + -16x + -2x = 16 + 2x + -2x

Combine like terms: -16x + -2x = -18x
33 + -18x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
33 + -18x = 16 + 0
33 + -18x = 16

Add '-33' to each side of the equation.
33 + -33 + -18x = 16 + -33

Combine like terms: 33 + -33 = 0
0 + -18x = 16 + -33
-18x = 16 + -33

Combine like terms: 16 + -33 = -17
-18x = -17

Divide each side by '-18'.
x = 0.9444444444

Simplifying
x = 0.9444444444

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