Solve Solve the following equation ( i ) x/10 + (70 - x)/2 = 19 | 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

$$\frac { x } { 10 } + \frac { 70 - x } { 2 } = 19$$

Solve for x

$x=40$

Steps for Solving Linear Equation

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

$$x+5\left(70-x\right)=190$$

Use the distributive property to multiply $5$ by $70-x$.

$$x+350-5x=190$$

Combine $x$ and $-5x$ to get $-4x$.

$$-4x+350=190$$

Subtract $350$ from both sides.

$$-4x=190-350$$

Subtract $350$ from $190$ to get $-160$.

$$-4x=-160$$

Divide both sides by $-4$.

$$x=\frac{-160}{-4}$$

Divide $-160$ by $-4$ to get $40$.

$$x=40$$