10-2(4x-13)=8(x+11)

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Solution for 10-2(4x-13)=8(x+11) equation: 


Simplifying
10 + -2(4x + -13) = 8(x + 11)

Reorder the terms:
10 + -2(-13 + 4x) = 8(x + 11)
10 + (-13 * -2 + 4x * -2) = 8(x + 11)
10 + (26 + -8x) = 8(x + 11)

Combine like terms: 10 + 26 = 36
36 + -8x = 8(x + 11)

Reorder the terms:
36 + -8x = 8(11 + x)
36 + -8x = (11 * 8 + x * 8)
36 + -8x = (88 + 8x)

Solving
36 + -8x = 88 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
36 + -8x + -8x = 88 + 8x + -8x

Combine like terms: -8x + -8x = -16x
36 + -16x = 88 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + -16x = 88 + 0
36 + -16x = 88

Add '-36' to each side of the equation.
36 + -36 + -16x = 88 + -36

Combine like terms: 36 + -36 = 0
0 + -16x = 88 + -36
-16x = 88 + -36

Combine like terms: 88 + -36 = 52
-16x = 52

Divide each side by '-16'.
x = -3.25

Simplifying
x = -3.25

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