How to solve 5 ) 4x + 7 = 6x

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 5 ) 4x + 7 = 6x | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$4 x + 7 = 6 x$$

$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$

Subtract $6x$ from both sides.

$$4x+7-6x=0$$

Combine $4x$ and $-6x$ to get $-2x$.

$$-2x+7=0$$

Subtract $7$ from both sides. Anything subtracted from zero gives its negation.

$$-2x=-7$$

Divide both sides by $-2$.

$$x=\frac{-7}{-2}$$

Fraction $\frac{-7}{-2}$ can be simplified to $\frac{7}{2}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{2}$$