8(4x+1)+3(2x-3)=21

Solution for 8(4x+1)+3(2x-3)=21 equation:

Simplifying
8(4x + 1) + 3(2x + -3) = 21

Reorder the terms:
8(1 + 4x) + 3(2x + -3) = 21
(1 * 8 + 4x * 8) + 3(2x + -3) = 21
(8 + 32x) + 3(2x + -3) = 21

Reorder the terms:
8 + 32x + 3(-3 + 2x) = 21
8 + 32x + (-3 * 3 + 2x * 3) = 21
8 + 32x + (-9 + 6x) = 21

Reorder the terms:
8 + -9 + 32x + 6x = 21

Combine like terms: 8 + -9 = -1
-1 + 32x + 6x = 21

Combine like terms: 32x + 6x = 38x
-1 + 38x = 21

Solving
-1 + 38x = 21

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 38x = 21 + 1

Combine like terms: -1 + 1 = 0
0 + 38x = 21 + 1
38x = 21 + 1

Combine like terms: 21 + 1 = 22
38x = 22

Divide each side by '38'.
x = 0.5789473684

Simplifying
x = 0.5789473684