Question

Cómo se desarrolla esta ecuación: 3 (2x-1)-2 (5-x)=3

Answer 1

Simplifying

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

Reorder the terms:

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

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

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

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

-3 + 6x + (-10 + 2x) = 3

Reorder the terms:

-3 + -10 + 6x + 2x = 3

Combine like terms: -3 + -10 = -13

-13 + 6x + 2x = 3

Combine like terms: 6x + 2x = 8x

-13 + 8x = 3

Solving

-13 + 8x = 3

Solving for variable 'x'.

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

Add '13' to each side of the equation.

-13 + 13 + 8x = 3 + 13

Combine like terms: -13 + 13 = 0

0 + 8x = 3 + 13

8x = 3 + 13

Combine like terms: 3 + 13 = 16

8x = 16

Divide each side by '8'.

x = 2

Simplifying

x = 2