Question

Solve −10x + 1 + 7x = 37

Answer 1

Answer and Step-by-step explanation

We're asked to solve the following equation:

⇒
`\bf{-10x+1+7x=37}`

Begin by combining the like terms on the left hand side. What I mean by combining like terms is adding/subtracting terms that have the same variable and the same exponents. Here these terms are -10x and 7x. If we combine them, we'll get -3x.

Our left side is now:

⇒
`\bf{-3x+1}`

Our right side stays the same:

⇒
`\bf{37}`

Our equation is:

⇒
`\bf{-3x+1=37}`

Subtract 1 from both sides:

⇒
`\bf{-3x=36}`

Next, divide both sides by -3:

⇒
`\bf{x=-12}`

Therefore, the value of x is -12.

Answer 2

x = -12

Explanation:

−10x + 1 + 7x = 37

Combine the x terms:

−3x + 1 = 37

Subtract 1 from both sides

-3x + 1 - 1 = 37-1

-3x = 36

Divide both sides by -3 to isolate x

-3x/-3 = 36/-3

x = -12

Check if this works:

−10x + 1 + 7x = 37

-10(-12) + 1 + 7(-12) = 37

120 + 1 + -84 = 37

121 - 84 = 37

37=37