Solve (9x - 5)/10 = (7x - 1)/5 + (2x + 3)/10 | 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

$$\frac{9x-5}{10}=\frac{7x-1}{5}+\frac{2x+3}{10}$$

Solve for x

$x=-\frac{6}{7}\approx -0.857142857$

Steps for Solving Linear Equation

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

$$9x-5=2\left(7x-1\right)+2x+3$$

Use the distributive property to multiply $2$ by $7x-1$.

$$9x-5=14x-2+2x+3$$

Combine $14x$ and $2x$ to get $16x$.

$$9x-5=16x-2+3$$

Add $-2$ and $3$ to get $1$.

$$9x-5=16x+1$$

Subtract $16x$ from both sides.

$$9x-5-16x=1$$

Combine $9x$ and $-16x$ to get $-7x$.

$$-7x-5=1$$

Add $5$ to both sides.

$$-7x=1+5$$

Add $1$ and $5$ to get $6$.

$$-7x=6$$

Divide both sides by $-7$.

$$x=\frac{6}{-7}$$

Fraction $\frac{6}{-7}$ can be rewritten as $-\frac{6}{7}$ by extracting the negative sign.

$$x=-\frac{6}{7}$$