5(2x-9)=3x+11

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Solution for 5(2x-9)=3x+11 equation:


Simplifying
5(2x + -9) = 3x + 11

Reorder the terms:
5(-9 + 2x) = 3x + 11
(-9 * 5 + 2x * 5) = 3x + 11
(-45 + 10x) = 3x + 11

Reorder the terms:
-45 + 10x = 11 + 3x

Solving
-45 + 10x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-45 + 10x + -3x = 11 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-45 + 7x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 7x = 11 + 0
-45 + 7x = 11

Add '45' to each side of the equation.
-45 + 45 + 7x = 11 + 45

Combine like terms: -45 + 45 = 0
0 + 7x = 11 + 45
7x = 11 + 45

Combine like terms: 11 + 45 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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