Solving Linear Equat

Solve the linear equation:

3.4 + 2 (9.7 - 4.8x) = 61.2

Step-by-step explanation:

Simplifying

3.4 + 2 (9.7 + - 4.8x) = 61.2

3.4 + (9.7 * 2 + - 4.8x * 2) = 61.2

3.4 + (19.4 + - 9.6x) = 61.2

Combine like terms: 3.4 + 19.4 = 22.8

22.8 + - 9.6x = 61.2

Solving

22.8 + - 9.6x = 61.2

Solving for variable 'x'.

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

Add '-22.8' to each side of the equation.

22.8 + - 22.8 + - 9.6x = 61.2 + - 22.8

Combine like terms: 22.8 + - 22.8 = 0.0

0.0 + - 9.6x = 61.2 + - 22.8

-9.6x = 61.2 + - 22.8

Combine like terms: 61.2 + - 22.8 = 38.4

-9.6x = 38.4

Divide each side by '-9.6'.

x = - 4

Simplifying

x = - 4

Step-by-step explanation:

3.4 + 19.4 - 9.6x = 61.2

22.8 - 9.6x = 61.2

-9.6x = 61.2 - 22.8

-9.6x = 38.4

x = - 4