5(x+9)+2=2(4x+4)

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Solution for 5(x+9)+2=2(4x+4) equation:


Simplifying
5(x + 9) + 2 = 2(4x + 4)

Reorder the terms:
5(9 + x) + 2 = 2(4x + 4)
(9 * 5 + x * 5) + 2 = 2(4x + 4)
(45 + 5x) + 2 = 2(4x + 4)

Reorder the terms:
45 + 2 + 5x = 2(4x + 4)

Combine like terms: 45 + 2 = 47
47 + 5x = 2(4x + 4)

Reorder the terms:
47 + 5x = 2(4 + 4x)
47 + 5x = (4 * 2 + 4x * 2)
47 + 5x = (8 + 8x)

Solving
47 + 5x = 8 + 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.
47 + 5x + -8x = 8 + 8x + -8x

Combine like terms: 5x + -8x = -3x
47 + -3x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
47 + -3x = 8 + 0
47 + -3x = 8

Add '-47' to each side of the equation.
47 + -47 + -3x = 8 + -47

Combine like terms: 47 + -47 = 0
0 + -3x = 8 + -47
-3x = 8 + -47

Combine like terms: 8 + -47 = -39
-3x = -39

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

Simplifying
x = 13

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