Solve 7left(2x-1right)-3(4x-1)=4(3x+2)-1

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

Solve for x

$$x = -\frac{11}{10} = -1\frac{1}{10} = -1.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2x-1.

$$14x-7-3\left(4x-1\right)=4\left(3x+2\right)-1$$

Use the distributive property to multiply -3 by 4x-1.

$$14x-7-12x+3=4\left(3x+2\right)-1$$

Combine 14x and -12x to get 2x.

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

Add -7 and 3 to get -4.

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

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

$$2x-4=12x+8-1$$

Subtract 1 from 8 to get 7.

$$2x-4=12x+7$$

Subtract 12x from both sides.

$$2x-4-12x=7$$

Combine 2x and -12x to get -10x.

$$-10x-4=7$$

Add 4 to both sides.

$$-10x=7+4$$

Add 7 and 4 to get 11.

$$-10x=11$$

Divide both sides by -10.

$$x=\frac{11}{-10}$$

Fraction \frac{11}{-10} can be rewritten as -\frac{11}{10} by extracting the negative sign.

$$x=-\frac{11}{10}$$