2(5x+11)=4(3x+3)

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Solution for 2(5x+11)=4(3x+3) equation:


Simplifying
2(5x + 11) = 4(3x + 3)

Reorder the terms:
2(11 + 5x) = 4(3x + 3)
(11 * 2 + 5x * 2) = 4(3x + 3)
(22 + 10x) = 4(3x + 3)

Reorder the terms:
22 + 10x = 4(3 + 3x)
22 + 10x = (3 * 4 + 3x * 4)
22 + 10x = (12 + 12x)

Solving
22 + 10x = 12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22 + 10x + -12x = 12 + 12x + -12x

Combine like terms: 10x + -12x = -2x
22 + -2x = 12 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -2x = 12 + 0
22 + -2x = 12

Add '-22' to each side of the equation.
22 + -22 + -2x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 12 + -22
-2x = 12 + -22

Combine like terms: 12 + -22 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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