24-11(x-15)=18x-14

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Solution for 24-11(x-15)=18x-14 equation:


Simplifying
24 + -11(x + -15) = 18x + -14

Reorder the terms:
24 + -11(-15 + x) = 18x + -14
24 + (-15 * -11 + x * -11) = 18x + -14
24 + (165 + -11x) = 18x + -14

Combine like terms: 24 + 165 = 189
189 + -11x = 18x + -14

Reorder the terms:
189 + -11x = -14 + 18x

Solving
189 + -11x = -14 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
189 + -11x + -18x = -14 + 18x + -18x

Combine like terms: -11x + -18x = -29x
189 + -29x = -14 + 18x + -18x

Combine like terms: 18x + -18x = 0
189 + -29x = -14 + 0
189 + -29x = -14

Add '-189' to each side of the equation.
189 + -189 + -29x = -14 + -189

Combine like terms: 189 + -189 = 0
0 + -29x = -14 + -189
-29x = -14 + -189

Combine like terms: -14 + -189 = -203
-29x = -203

Divide each side by '-29'.
x = 7

Simplifying
x = 7

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