5x+4(x-3)+6=-2(x-1)+3

Solution for 5x+4(x-3)+6=-2(x-1)+3 equation:

Simplifying
5x + 4(x + -3) + 6 = -2(x + -1) + 3

Reorder the terms:
5x + 4(-3 + x) + 6 = -2(x + -1) + 3
5x + (-3 * 4 + x * 4) + 6 = -2(x + -1) + 3
5x + (-12 + 4x) + 6 = -2(x + -1) + 3

Reorder the terms:
-12 + 6 + 5x + 4x = -2(x + -1) + 3

Combine like terms: -12 + 6 = -6
-6 + 5x + 4x = -2(x + -1) + 3

Combine like terms: 5x + 4x = 9x
-6 + 9x = -2(x + -1) + 3

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

Reorder the terms:
-6 + 9x = 2 + 3 + -2x

Combine like terms: 2 + 3 = 5
-6 + 9x = 5 + -2x

Solving
-6 + 9x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 9x + 2x = 5 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-6 + 11x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 11x = 5 + 0
-6 + 11x = 5

Add '6' to each side of the equation.
-6 + 6 + 11x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 5 + 6
11x = 5 + 6

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

Divide each side by '11'.
x = 1

Simplifying
x = 1