Solve (4x)/5 + x + 2 = x/2 + x + 5 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{4x}{5}+x+2=\frac{x}{2}+x+5$$

Solve for x

$x=10$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,2$.

$$2\times 4x+10x+20=5x+10x+50$$

Multiply $2$ and $4$ to get $8$.

$$8x+10x+20=5x+10x+50$$

Combine $8x$ and $10x$ to get $18x$.

$$18x+20=5x+10x+50$$

Combine $5x$ and $10x$ to get $15x$.

$$18x+20=15x+50$$

Subtract $15x$ from both sides.

$$18x+20-15x=50$$

Combine $18x$ and $-15x$ to get $3x$.

$$3x+20=50$$

Subtract $20$ from both sides.

$$3x=50-20$$

Subtract $20$ from $50$ to get $30$.

$$3x=30$$

Divide both sides by $3$.

$$x=\frac{30}{3}$$

Divide $30$ by $3$ to get $10$.

$$x=10$$