Solve 35(2x-1)=7(x+4)+3x

$$35 ( 2 x - 1 ) = 7 ( x + 4 ) + 3 x$$

Solve for x

$$x = \frac{21}{20} = 1\frac{1}{20} = 1.05$$

Steps for Solving Linear Equation

Use the distributive property to multiply 35 by 2x-1.

$$70x-35=7\left(x+4\right)+3x$$

Use the distributive property to multiply 7 by x+4.

$$70x-35=7x+28+3x$$

Combine 7x and 3x to get 10x.

$$70x-35=10x+28$$

Subtract 10x from both sides.

$$70x-35-10x=28$$

Combine 70x and -10x to get 60x.

$$60x-35=28$$

Add 35 to both sides.

$$60x=28+35$$

Add 28 and 35 to get 63.

$$60x=63$$

Divide both sides by 60.

$$x=\frac{63}{60}$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$x=\frac{21}{20}$$