65=4(2x+4)-5(x-2)

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Solution for 65=4(2x+4)-5(x-2) equation:


Simplifying
65 = 4(2x + 4) + -5(x + -2)

Reorder the terms:
65 = 4(4 + 2x) + -5(x + -2)
65 = (4 * 4 + 2x * 4) + -5(x + -2)
65 = (16 + 8x) + -5(x + -2)

Reorder the terms:
65 = 16 + 8x + -5(-2 + x)
65 = 16 + 8x + (-2 * -5 + x * -5)
65 = 16 + 8x + (10 + -5x)

Reorder the terms:
65 = 16 + 10 + 8x + -5x

Combine like terms: 16 + 10 = 26
65 = 26 + 8x + -5x

Combine like terms: 8x + -5x = 3x
65 = 26 + 3x

Solving
65 = 26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
65 + -3x = 26 + 3x + -3x

Combine like terms: 3x + -3x = 0
65 + -3x = 26 + 0
65 + -3x = 26

Add '-65' to each side of the equation.
65 + -65 + -3x = 26 + -65

Combine like terms: 65 + -65 = 0
0 + -3x = 26 + -65
-3x = 26 + -65

Combine like terms: 26 + -65 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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