Question

Solve the equation. –3x + 1 + 10x = x + 4

Answer 1

10x-3x= 8x

8x + 1 = x + 4

subtract x in both side

7x + 1 = 4

subtract 1 on both side

7x = 3

divide 7 on both side

x = 3/7

or

.43 in decimal

Answer 2

x = 1/2 = 0.5

Explanation:

We must solve x in the following equation:

–3x + 1 + 10x = x + 4

We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:

–3x + 1 + 10x -x = x + 4 -x

–3x + 1 + 10x -x -1 = 4 -1

6x = 3

Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:

6x /6 = 3/6

x = 1/2 = 0.5