Question

Solve.............3%7D%20" id="TexFormula1" title=" \frac{x + 4}{4} = \frac{2x - 7}{3} " alt=" \frac{x + 4}{4} = \frac{2x - 7}{3} " align="absmiddle" class="latex-formula">
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Answer 1

$\bf \: \frac{x + 4}{4} = \frac{2x - 7}{3}$

Simplify the equation using cross-multiplication

$\bf \: 3(x + 4) = 4(2x - 7)$

Distribute 3 through the parentheses

$\bf \: 3x + 12 = 4(2x - 7)$

Distribute 4 through the parentheses

$\bf \: 3x + 12 = 8x - 28$

Move the variable to the left-hand side and change its sign

$\bf \: 3x + 12 - 8x = 28$

Move the constant to the right-hand side and change its sign

$\bf \: 3x - 8x = - 28 - 12$

Collect like terms

$\bf \: - 5x = - 28 - 12$

Calculate the difference

$\bf \: - 5x = - 40$

Divide both sides of the equation by -5

$\boxed{ \mathfrak{x = 8}}$

Answer 2

Answer:

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

• By cross multiplication:

$4(2x - 7) = 3(x + 4)$

$8x - 28 = 3x + 12$

$8x - 3x = 12 + 28$

$5x = 40$

$x = \frac{40}{5}$

$x = 8$