Question

Solve for xD%20" id="TexFormula1" title=" \frac{4x - 6}{4} = \frac{2x + 5}{3} " alt=" \frac{4x - 6}{4} = \frac{2x + 5}{3} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

x = 9.5

Step-by-step explanation:

Given

$\frac{4x-6}{4}$ = $\frac{2x+5}{3}$ ( cross- multiply )

3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides

12x - 18 = 8x + 20 ( subtract 8x from both sides )

4x - 18 = 20 ( add 18 to both sides )

4x = 38 ( divide both sides by 4 )

x = $\frac{38}{4}$ = 9.5