11(2x+3)=30x-7

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Solution for 11(2x+3)=30x-7 equation:


Simplifying
11(2x + 3) = 30x + -7

Reorder the terms:
11(3 + 2x) = 30x + -7
(3 * 11 + 2x * 11) = 30x + -7
(33 + 22x) = 30x + -7

Reorder the terms:
33 + 22x = -7 + 30x

Solving
33 + 22x = -7 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
33 + 22x + -30x = -7 + 30x + -30x

Combine like terms: 22x + -30x = -8x
33 + -8x = -7 + 30x + -30x

Combine like terms: 30x + -30x = 0
33 + -8x = -7 + 0
33 + -8x = -7

Add '-33' to each side of the equation.
33 + -33 + -8x = -7 + -33

Combine like terms: 33 + -33 = 0
0 + -8x = -7 + -33
-8x = -7 + -33

Combine like terms: -7 + -33 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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