2(4x+5)=64-x

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Solution for 2(4x+5)=64-x equation:


Simplifying
2(4x + 5) = 64 + -1x

Reorder the terms:
2(5 + 4x) = 64 + -1x
(5 * 2 + 4x * 2) = 64 + -1x
(10 + 8x) = 64 + -1x

Solving
10 + 8x = 64 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 8x + x = 64 + -1x + x

Combine like terms: 8x + x = 9x
10 + 9x = 64 + -1x + x

Combine like terms: -1x + x = 0
10 + 9x = 64 + 0
10 + 9x = 64

Add '-10' to each side of the equation.
10 + -10 + 9x = 64 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 64 + -10
9x = 64 + -10

Combine like terms: 64 + -10 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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