10x+3-8x=-2(6+9)+3(1+8x)

Solution for 10x+3-8x=-2(6+9)+3(1+8x) equation:

Simplifying
10x + 3 + -8x = -2(6 + 9) + 3(1 + 8x)

Reorder the terms:
3 + 10x + -8x = -2(6 + 9) + 3(1 + 8x)

Combine like terms: 10x + -8x = 2x
3 + 2x = -2(6 + 9) + 3(1 + 8x)

Combine like terms: 6 + 9 = 15
3 + 2x = -2(15) + 3(1 + 8x)

Multiply -2 * 15
3 + 2x = -30 + 3(1 + 8x)
3 + 2x = -30 + (1 * 3 + 8x * 3)
3 + 2x = -30 + (3 + 24x)

Combine like terms: -30 + 3 = -27
3 + 2x = -27 + 24x

Solving
3 + 2x = -27 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
3 + 2x + -24x = -27 + 24x + -24x

Combine like terms: 2x + -24x = -22x
3 + -22x = -27 + 24x + -24x

Combine like terms: 24x + -24x = 0
3 + -22x = -27 + 0
3 + -22x = -27

Add '-3' to each side of the equation.
3 + -3 + -22x = -27 + -3

Combine like terms: 3 + -3 = 0
0 + -22x = -27 + -3
-22x = -27 + -3

Combine like terms: -27 + -3 = -30
-22x = -30

Divide each side by '-22'.
x = 1.363636364

Simplifying
x = 1.363636364