Solve 3.5(0.1x+1)-4.1x=2.5(2-1.2x)

$$3.5 ( 0.1 x + 1 ) - 4.1 x = 2.5 ( 2 - 1.2 x )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3.5 by 0.1x+1.

$$0.35x+3.5-4.1x=2.5\left(2-1.2x\right)$$

Combine 0.35x and -4.1x to get -3.75x.

$$-3.75x+3.5=2.5\left(2-1.2x\right)$$

Use the distributive property to multiply 2.5 by 2-1.2x.

$$-3.75x+3.5=5-3x$$

Add 3x to both sides.

$$-3.75x+3.5+3x=5$$

Combine -3.75x and 3x to get -0.75x.

$$-0.75x+3.5=5$$

Subtract 3.5 from both sides.

$$-0.75x=5-3.5$$

Subtract 3.5 from 5 to get 1.5.

$$-0.75x=1.5$$

Divide both sides by -0.75.

$$x=\frac{1.5}{-0.75}$$

Expand \frac{1.5}{-0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{150}{-75}$$

Divide 150 by -75 to get -2.

$$x=-2$$