11*(3+x)=10*(4+x)-14

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Solution for 11*(3+x)=10*(4+x)-14 equation:


Simplifying
11(3 + x) = 10(4 + x) + -14
(3 * 11 + x * 11) = 10(4 + x) + -14
(33 + 11x) = 10(4 + x) + -14
33 + 11x = (4 * 10 + x * 10) + -14
33 + 11x = (40 + 10x) + -14

Reorder the terms:
33 + 11x = 40 + -14 + 10x

Combine like terms: 40 + -14 = 26
33 + 11x = 26 + 10x

Solving
33 + 11x = 26 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
33 + 11x + -10x = 26 + 10x + -10x

Combine like terms: 11x + -10x = 1x
33 + 1x = 26 + 10x + -10x

Combine like terms: 10x + -10x = 0
33 + 1x = 26 + 0
33 + 1x = 26

Add '-33' to each side of the equation.
33 + -33 + 1x = 26 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = 26 + -33
1x = 26 + -33

Combine like terms: 26 + -33 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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