How to solve (7m+6)/(4m+2)=2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (7m+6)/(4m+2)=2 | Equatix

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Question

$$\frac{ 7m+6 }{ 4m+2 } =2$$

Solve for m

$m=2$

Steps for Solving Linear Equation

Variable $m$ cannot be equal to $-\frac{1}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2\left(2m+1\right)$.

$$7m+6=4\left(2m+1\right)$$

Use the distributive property to multiply $4$ by $2m+1$.

$$7m+6=8m+4$$

Subtract $8m$ from both sides.

$$7m+6-8m=4$$

Combine $7m$ and $-8m$ to get $-m$.

$$-m+6=4$$

Subtract $6$ from both sides.

$$-m=4-6$$

Subtract $6$ from $4$ to get $-2$.

$$-m=-2$$

Multiply both sides by $-1$.

$$m=2$$

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Question

Solve for m

Steps for Solving Linear Equation