5(2x+3)=11(x-18)

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Solution for 5(2x+3)=11(x-18) equation:


Simplifying
5(2x + 3) = 11(x + -18)

Reorder the terms:
5(3 + 2x) = 11(x + -18)
(3 * 5 + 2x * 5) = 11(x + -18)
(15 + 10x) = 11(x + -18)

Reorder the terms:
15 + 10x = 11(-18 + x)
15 + 10x = (-18 * 11 + x * 11)
15 + 10x = (-198 + 11x)

Solving
15 + 10x = -198 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
15 + 10x + -11x = -198 + 11x + -11x

Combine like terms: 10x + -11x = -1x
15 + -1x = -198 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + -1x = -198 + 0
15 + -1x = -198

Add '-15' to each side of the equation.
15 + -15 + -1x = -198 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -198 + -15
-1x = -198 + -15

Combine like terms: -198 + -15 = -213
-1x = -213

Divide each side by '-1'.
x = 213

Simplifying
x = 213

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