11x-7=5(2x+5)-18

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Solution for 11x-7=5(2x+5)-18 equation:


Simplifying
11x + -7 = 5(2x + 5) + -18

Reorder the terms:
-7 + 11x = 5(2x + 5) + -18

Reorder the terms:
-7 + 11x = 5(5 + 2x) + -18
-7 + 11x = (5 * 5 + 2x * 5) + -18
-7 + 11x = (25 + 10x) + -18

Reorder the terms:
-7 + 11x = 25 + -18 + 10x

Combine like terms: 25 + -18 = 7
-7 + 11x = 7 + 10x

Solving
-7 + 11x = 7 + 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.
-7 + 11x + -10x = 7 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-7 + 1x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + 1x = 7 + 0
-7 + 1x = 7

Add '7' to each side of the equation.
-7 + 7 + 1x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 7 + 7
1x = 7 + 7

Combine like terms: 7 + 7 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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