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

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

Solve for x

$$x=\frac{6}{11}\approx 0.545454545$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 5x-3.

$$20x-12=7x-4+2\left(x-1\right)$$

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

$$20x-12=7x-4+2x-2$$

Combine 7x and 2x to get 9x.

$$20x-12=9x-4-2$$

Subtract 2 from -4 to get -6.

$$20x-12=9x-6$$

Subtract 9x from both sides.

$$20x-12-9x=-6$$

Combine 20x and -9x to get 11x.

$$11x-12=-6$$

Add 12 to both sides.

$$11x=-6+12$$

Add -6 and 12 to get 6.

$$11x=6$$

Divide both sides by 11.

$$x=\frac{6}{11}$$