Solve 7x+5+5(x+1)=4x-7

$$7 x + 5 + 5 ( x + 1 ) = 4 x - 7$$

Solve for x

$$x = -\frac{17}{8} = -2\frac{1}{8} = -2.125$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+1.

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

Combine 7x and 5x to get 12x.

$$12x+5+5=4x-7$$

Add 5 and 5 to get 10.

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

Subtract 4x from both sides.

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

Combine 12x and -4x to get 8x.

$$8x+10=-7$$

Subtract 10 from both sides.

$$8x=-7-10$$

Subtract 10 from -7 to get -17.

$$8x=-17$$

Divide both sides by 8.

$$x=\frac{-17}{8}$$

Fraction \frac{-17}{8} can be rewritten as -\frac{17}{8} by extracting the negative sign.

$$x=-\frac{17}{8}$$