MatemáticasBásico1 respuestas

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

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

Calculadora interactiva

ax² + bx + c = 0

Mejor respuesta

Kathepena10
6

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.