33=2(5x+4)+5

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Solution for 33=2(5x+4)+5 equation:


Simplifying
33 = 2(5x + 4) + 5

Reorder the terms:
33 = 2(4 + 5x) + 5
33 = (4 * 2 + 5x * 2) + 5
33 = (8 + 10x) + 5

Reorder the terms:
33 = 8 + 5 + 10x

Combine like terms: 8 + 5 = 13
33 = 13 + 10x

Solving
33 = 13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
33 + -10x = 13 + 10x + -10x

Combine like terms: 10x + -10x = 0
33 + -10x = 13 + 0
33 + -10x = 13

Add '-33' to each side of the equation.
33 + -33 + -10x = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = 13 + -33
-10x = 13 + -33

Combine like terms: 13 + -33 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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