4(2x+3)-1=3(6x-9)+13

Solution for 4(2x+3)-1=3(6x-9)+13 equation:

Simplifying
4(2x + 3) + -1 = 3(6x + -9) + 13

Reorder the terms:
4(3 + 2x) + -1 = 3(6x + -9) + 13
(3 * 4 + 2x * 4) + -1 = 3(6x + -9) + 13
(12 + 8x) + -1 = 3(6x + -9) + 13

Reorder the terms:
12 + -1 + 8x = 3(6x + -9) + 13

Combine like terms: 12 + -1 = 11
11 + 8x = 3(6x + -9) + 13

Reorder the terms:
11 + 8x = 3(-9 + 6x) + 13
11 + 8x = (-9 * 3 + 6x * 3) + 13
11 + 8x = (-27 + 18x) + 13

Reorder the terms:
11 + 8x = -27 + 13 + 18x

Combine like terms: -27 + 13 = -14
11 + 8x = -14 + 18x

Solving
11 + 8x = -14 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
11 + 8x + -18x = -14 + 18x + -18x

Combine like terms: 8x + -18x = -10x
11 + -10x = -14 + 18x + -18x

Combine like terms: 18x + -18x = 0
11 + -10x = -14 + 0
11 + -10x = -14

Add '-11' to each side of the equation.
11 + -11 + -10x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = -14 + -11
-10x = -14 + -11

Combine like terms: -14 + -11 = -25
-10x = -25

Divide each side by '-10'.
x = 2.5

Simplifying
x = 2.5