# Calculate: (-7x+4)/(2)=(3x)/(4)

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

Simplify the equation using cross-multiplication

$4\left( -7x+4 \right)=6x$

Distribute $4$ through the parentheses

$-28x+16=6x$

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

$-28x=6x-16$

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

$-28x-6x=-16$

Collect like terms

$-34x=-16$

Divide both sides of the equation by $-34$

\begin{align*}&x=\frac{ 8 }{ 17 } \\&x=0.\overset{ \cdot }{ 4 } 70588235294117\overset{ \cdot }{ 6 } \end{align*}

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