5(2x+7)=3(3x+11)

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Solution for 5(2x+7)=3(3x+11) equation:


Simplifying
5(2x + 7) = 3(3x + 11)

Reorder the terms:
5(7 + 2x) = 3(3x + 11)
(7 * 5 + 2x * 5) = 3(3x + 11)
(35 + 10x) = 3(3x + 11)

Reorder the terms:
35 + 10x = 3(11 + 3x)
35 + 10x = (11 * 3 + 3x * 3)
35 + 10x = (33 + 9x)

Solving
35 + 10x = 33 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
35 + 10x + -9x = 33 + 9x + -9x

Combine like terms: 10x + -9x = 1x
35 + 1x = 33 + 9x + -9x

Combine like terms: 9x + -9x = 0
35 + 1x = 33 + 0
35 + 1x = 33

Add '-35' to each side of the equation.
35 + -35 + 1x = 33 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = 33 + -35
1x = 33 + -35

Combine like terms: 33 + -35 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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