-4(3x+5)-1=-2(x+1)+3x

Solution for -4(3x+5)-1=-2(x+1)+3x equation:

Simplifying
-4(3x + 5) + -1 = -2(x + 1) + 3x

Reorder the terms:
-4(5 + 3x) + -1 = -2(x + 1) + 3x
(5 * -4 + 3x * -4) + -1 = -2(x + 1) + 3x
(-20 + -12x) + -1 = -2(x + 1) + 3x

Reorder the terms:
-20 + -1 + -12x = -2(x + 1) + 3x

Combine like terms: -20 + -1 = -21
-21 + -12x = -2(x + 1) + 3x

Reorder the terms:
-21 + -12x = -2(1 + x) + 3x
-21 + -12x = (1 * -2 + x * -2) + 3x
-21 + -12x = (-2 + -2x) + 3x

Combine like terms: -2x + 3x = 1x
-21 + -12x = -2 + 1x

Solving
-21 + -12x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-21 + -12x + -1x = -2 + 1x + -1x

Combine like terms: -12x + -1x = -13x
-21 + -13x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-21 + -13x = -2 + 0
-21 + -13x = -2

Add '21' to each side of the equation.
-21 + 21 + -13x = -2 + 21

Combine like terms: -21 + 21 = 0
0 + -13x = -2 + 21
-13x = -2 + 21

Combine like terms: -2 + 21 = 19
-13x = 19

Divide each side by '-13'.
x = -1.461538462

Simplifying
x = -1.461538462