Solve 6+(5x-7)-2(3x+4)=7(x+1)

$$6 + ( 5 x - 7 ) - 2 ( 3 x + 4 ) = 7 ( x + 1 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Subtract 7 from 6 to get -1.

$$-1+5x-2\left(3x+4\right)=7\left(x+1\right)$$

Use the distributive property to multiply -2 by 3x+4.

$$-1+5x-6x-8=7\left(x+1\right)$$

Combine 5x and -6x to get -x.

$$-1-x-8=7\left(x+1\right)$$

Subtract 8 from -1 to get -9.

$$-9-x=7\left(x+1\right)$$

Use the distributive property to multiply 7 by x+1.

$$-9-x=7x+7$$

Subtract 7x from both sides.

$$-9-x-7x=7$$

Combine -x and -7x to get -8x.

$$-9-8x=7$$

Add 9 to both sides.

$$-8x=7+9$$

Add 7 and 9 to get 16.

$$-8x=16$$

Divide both sides by -8.

$$x=\frac{16}{-8}$$

Divide 16 by -8 to get -2.

$$x=-2$$