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

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

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

Reorder the terms:
2(-3 + x) = 5(2x + 1)
(-3 * 2 + x * 2) = 5(2x + 1)
(-6 + 2x) = 5(2x + 1)

Reorder the terms:
-6 + 2x = 5(1 + 2x)
-6 + 2x = (1 * 5 + 2x * 5)
-6 + 2x = (5 + 10x)

Solving
-6 + 2x = 5 + 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.
-6 + 2x + -10x = 5 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-6 + -8x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -8x = 5 + 0
-6 + -8x = 5

Add '6' to each side of the equation.
-6 + 6 + -8x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 5 + 6
-8x = 5 + 6

Combine like terms: 5 + 6 = 11
-8x = 11

Divide each side by '-8'.
x = -1.375

Simplifying
x = -1.375