Question

Solve the equation 2 (x+3)-3x=8-2 (2x-5)

Answer 1

2x+6 -3x =8-4x+10
2x-3x+4x = 8+10-6
3x =12
x =4

Answer 2

Simplifying 2(x + 3) + -3x = 8 + -2(2x + -5)

Reorder the terms: 2(3 + x) + -3x = 8 + -2(2x + -5) (3 * 2 + x * 2) + -3x = 8 + -2(2x + -5) (6 + 2x) + -3x = 8 + -2(2x + -5)

Combine like terms: 2x + -3x = -1x 6 + -1x = 8 + -2(2x + -5)

Reorder the terms: 6 + -1x = 8 + -2(-5 + 2x) 6 + -1x = 8 + (-5 * -2 + 2x * -2) 6 + -1x = 8 + (10 + -4x)

Combine like terms: 8 + 10 = 18 6 + -1x = 18 + -4x

Solving 6 + -1x = 18 + -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. 6 + -1x + 4x = 18 + -4x + 4x

Combine like terms: -1x + 4x = 3x 6 + 3x = 18 + -4x + 4x

combine like terms: -4x + 4x = 0 6 + 3x = 18 + 0 6 + 3x = 18

Add '-6' to each side of the equation. 6 + -6 + 3x = 18 + -6

Combine like terms: 6 + -6 = 0 0 + 3x = 18 + -6 3x = 18 + -6

Combine like terms: 18 + -6 = 12
3x = 12

Divide each side by '3'. x = 4 Simplifying x = 4