Solve 3x+4=7+5(x-2)

$$3 x + 4 = 7 + 5 ( x - 2 )$$

Solve for x

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

Steps for Solving Linear Equation

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

$$3x+4=7+5x-10$$

Subtract 10 from 7 to get -3.

$$3x+4=-3+5x$$

Subtract 5x from both sides.

$$3x+4-5x=-3$$

Combine 3x and -5x to get -2x.

$$-2x+4=-3$$

Subtract 4 from both sides.

$$-2x=-3-4$$

Subtract 4 from -3 to get -7.

$$-2x=-7$$

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.

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