Question

3x = 2x + 7 4 5 x = ?

Answer 1

Solve for x | Solution and Explanation

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We are given the following expression:

$\frac{3x}{4} =\frac{2x+7}{5}$

1. Apply fraction cross multiply (if $\frac{a}{b}=\frac{c}{d}$, then $a$ × $d$ = $b$ × $c$)

• $3x$ × $5 = 4(2x+7)$

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2. Simplify.

• $15x=4(2x+7)$

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3. Expand 4(2x + 7).

• $15x=8x+28$

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4. Subtract 8x from both sides.

• $15x-8x=8x+28-8x$

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5. Simplify.

• $7x=28$

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6. Divide both sides by 7.

• $\frac{7x}{7}=\frac{28}{7}$

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7. Simplify.

• $x=4$

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Hope this helps!