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

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

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

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

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

Reorder the terms:
-2 + 6 + 2x + 3x = 1 + -4(x + 1)

Combine like terms: -2 + 6 = 4
4 + 2x + 3x = 1 + -4(x + 1)

Combine like terms: 2x + 3x = 5x
4 + 5x = 1 + -4(x + 1)

Reorder the terms:
4 + 5x = 1 + -4(1 + x)
4 + 5x = 1 + (1 * -4 + x * -4)
4 + 5x = 1 + (-4 + -4x)

Combine like terms: 1 + -4 = -3
4 + 5x = -3 + -4x

Solving
4 + 5x = -3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + 5x + 4x = -3 + -4x + 4x

Combine like terms: 5x + 4x = 9x
4 + 9x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 9x = -3 + 0
4 + 9x = -3

Add '-4' to each side of the equation.
4 + -4 + 9x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = -3 + -4
9x = -3 + -4

Combine like terms: -3 + -4 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778