11(x+5)=10x+45

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Solution for 11(x+5)=10x+45 equation:


Simplifying
11(x + 5) = 10x + 45

Reorder the terms:
11(5 + x) = 10x + 45
(5 * 11 + x * 11) = 10x + 45
(55 + 11x) = 10x + 45

Reorder the terms:
55 + 11x = 45 + 10x

Solving
55 + 11x = 45 + 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.
55 + 11x + -10x = 45 + 10x + -10x

Combine like terms: 11x + -10x = 1x
55 + 1x = 45 + 10x + -10x

Combine like terms: 10x + -10x = 0
55 + 1x = 45 + 0
55 + 1x = 45

Add '-55' to each side of the equation.
55 + -55 + 1x = 45 + -55

Combine like terms: 55 + -55 = 0
0 + 1x = 45 + -55
1x = 45 + -55

Combine like terms: 45 + -55 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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