Solve 4x+7=5(2x-4)+8

$$4 x + 7 = 5 ( 2 x - 4 ) + 8$$

Solve for x

$$x = \frac{19}{6} = 3\frac{1}{6} \approx 3.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x-4.

$$4x+7=10x-20+8$$

Add -20 and 8 to get -12.

$$4x+7=10x-12$$

Subtract 10x from both sides.

$$4x+7-10x=-12$$

Combine 4x and -10x to get -6x.

$$-6x+7=-12$$

Subtract 7 from both sides.

$$-6x=-12-7$$

Subtract 7 from -12 to get -19.

$$-6x=-19$$

Divide both sides by -6.

$$x=\frac{-19}{-6}$$

Fraction \frac{-19}{-6} can be simplified to \frac{19}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{6}$$