Solve the equation-2x-3-1-7x-15 - 3

Step 1: Bring the like terms together2x/3+1=7x/15 + 3⇒2x/3 7x/15=3 1Step 2: Simplify⇒10x 7x/15=2⇒3x/15=2⇒ x=2× 15/3⇒ x=10Thus, x=10 is the solution of given li ...

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Byju's Answer

Standard VIII

Mathematics

Solving an Equation with Variables on Both Sides

Solve the equ...

Question

Solve the equation: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$

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Solution

Step 1: Bring the like terms together
$\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$
$\Rightarrow \frac{2 x}{3} - \frac{7 x}{15} = 3 - 1$
Step 2: Simplify
$\Rightarrow \frac{10 x - 7 x}{15} = 2$
$\Rightarrow \frac{3 x}{15} = 2$
$\Rightarrow x = \frac{2 \times 15}{3}$
$\Rightarrow x = 10$
Thus, $x = 10$ is the solution of given linear equation.

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Solve the equation:2x3+1=7x15+3

Step 1: Bring the like terms together2x3+1=7x15+3⇒2x3-7x15=3-1Step 2: Simplify⇒10x-7x15=2⇒3x15=2⇒x=2×153⇒x=10Thus, x=10 is the solution of given linear equation.

Solve the equation: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$