5(2x-3)+6(x+5)=31

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Solution for 5(2x-3)+6(x+5)=31 equation:


Simplifying
5(2x + -3) + 6(x + 5) = 31

Reorder the terms:
5(-3 + 2x) + 6(x + 5) = 31
(-3 * 5 + 2x * 5) + 6(x + 5) = 31
(-15 + 10x) + 6(x + 5) = 31

Reorder the terms:
-15 + 10x + 6(5 + x) = 31
-15 + 10x + (5 * 6 + x * 6) = 31
-15 + 10x + (30 + 6x) = 31

Reorder the terms:
-15 + 30 + 10x + 6x = 31

Combine like terms: -15 + 30 = 15
15 + 10x + 6x = 31

Combine like terms: 10x + 6x = 16x
15 + 16x = 31

Solving
15 + 16x = 31

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 16x = 31 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = 31 + -15
16x = 31 + -15

Combine like terms: 31 + -15 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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