solve.
3x/2 + 8-4x/7=3
i got -70/13
how did you do that
3x/2 + 8-4x/7=3
The denominators are 2 and 7, and the LCM for them is their product: 2 x 7 = 14. So multiply through (multiply each term on both sides of the equation) by 14 to eliminate the fractions.
14(3x/2) + 14(8) + 14(-4x/7) = 14(3)
21x + 112 - 8x = 42
combine like terms
21x - 8x + 112 = 42
13x + 112 = 42
isolate x: start by subtraction 112 from both sides
13x = 42 - 112
combine like terms
13x = -70
divide both sides by 13 to get x by itself
x = -70/13
To solve the given equation, we need to isolate the variable x.
Let's simplify the equation step by step:
Step 1: Clear the fractions.
To eliminate the fractions, we can multiply every term in the equation by the least common multiple (LCM) of the denominators, which is 14.
(14) * (3x/2) + (14) * (8) - (14) * (4x/7) = (14) * (3)
This simplifies to:
21x + 112 - 8x = 42
Step 2: Combine like terms.
Combine the x terms on the left side of the equation and the constant terms on the right side.
(21x - 8x) + 112 = 42
This simplifies to:
13x + 112 = 42
Step 3: Move the constant term.
To isolate the variable x, we need to move the constant term (112) to the other side of the equation.
13x = 42 - 112
Simplifying further, we get:
13x = -70
Step 4: Solve for x.
To solve for x, divide both sides of the equation by 13.
x = -70 / 13
This can be expressed as a decimal or fraction, but it is not a rounded solution.