Solve the linear equation for -x-2 x-3-5-x-3-4-2 x-3-4

Solving the linear equation for 'x': 2x 3/5+x+3/4=2x+3/4⇒2x 3/5=2x+3/4 x+3/4⇒2x 3/5=2x+3 x 3/4⇒2x 3/5=2x x/4⇒2x 3/5=x/4⇒ 4(2x 3)=5x⇒ 8x 12=5x⇒ 8x 5x=12⇒ 3x=12⇒ ...

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Byju's Answer

Standard IX

Mathematics

Linear Equation in 2 Variables

Solve the lin...

Question

Solve the linear equation for ' $x$ ':
$\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{2 x + 3}{4}$

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Solution

Solving the linear equation for ' $x$ ':
$\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{2 x + 3}{4}$
$\Rightarrow \frac{2 x - 3}{5} = \frac{2 x + 3}{4} - \frac{x + 3}{4}$
$\Rightarrow \frac{2 x - 3}{5} = \frac{2 x + 3 - x - 3}{4}$
$\Rightarrow \frac{2 x - 3}{5} = \frac{2 x - x}{4}$
$\Rightarrow \frac{2 x - 3}{5} = \frac{x}{4}$
$\Rightarrow 4 (2 x - 3) = 5 x$
$\Rightarrow 8 x - 12 = 5 x$
$\Rightarrow 8 x - 5 x = 12$
$\Rightarrow 3 x = 12$
$\Rightarrow 3 x = 12$
$\Rightarrow x = \frac{12}{3}$
$\Rightarrow x = 4$
Hence, $x = 4$

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Solve the linear equation for 'x': 2x−35+x+34=2x+34

Solving the linear equation for 'x': 2x−35+x+34=2x+34⇒2x−35=2x+34−x+34⇒2x−35=2x+3−x−34⇒2x−35=2x−x4⇒2x−35=x4⇒4(2x−3)=5x⇒8x−12=5x⇒8x−5x=12⇒3x=12⇒3x=12⇒x=123⇒x=4Hence, x=4

Solve the linear equation for ' $x$ ':
$\frac{2 x - 3}{5} + \frac{x + 3}{4} = \frac{2 x + 3}{4}$