Question

Solve the equatione=" \frac{3}{8}x - 17 = 10" alt=" \frac{3}{8}x - 17 = 10" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

$\frac{3}{8}x-17=10$        Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$        Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$        Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$        Combine the factors into one fraction.

$x=\frac{27*8}{3}$        Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$        Simplify the fraction by dividing top by bottom.

$x=72$        Final answer, solved for 'x'