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

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


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

Reorder the terms:
5(5 + 2x) = 3x + 11
(5 * 5 + 2x * 5) = 3x + 11
(25 + 10x) = 3x + 11

Reorder the terms:
25 + 10x = 11 + 3x

Solving
25 + 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.
25 + 10x + -3x = 11 + 3x + -3x

Combine like terms: 10x + -3x = 7x
25 + 7x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
25 + 7x = 11 + 0
25 + 7x = 11

Add '-25' to each side of the equation.
25 + -25 + 7x = 11 + -25

Combine like terms: 25 + -25 = 0
0 + 7x = 11 + -25
7x = 11 + -25

Combine like terms: 11 + -25 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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