5(2x-1)+3(1+x)=37

Solution for 5(2x-1)+3(1+x)=37 equation:

Simplifying
5(2x + -1) + 3(1 + x) = 37

Reorder the terms:
5(-1 + 2x) + 3(1 + x) = 37
(-1 * 5 + 2x * 5) + 3(1 + x) = 37
(-5 + 10x) + 3(1 + x) = 37
-5 + 10x + (1 * 3 + x * 3) = 37
-5 + 10x + (3 + 3x) = 37

Reorder the terms:
-5 + 3 + 10x + 3x = 37

Combine like terms: -5 + 3 = -2
-2 + 10x + 3x = 37

Combine like terms: 10x + 3x = 13x
-2 + 13x = 37

Solving
-2 + 13x = 37

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 13x = 37 + 2

Combine like terms: -2 + 2 = 0
0 + 13x = 37 + 2
13x = 37 + 2

Combine like terms: 37 + 2 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3