Solve 5.3+2(x+0.14)=6.1(-3.2+3.1x)-8.72

$$5.3 + 2 ( x + 0.14 ) = 6.1 ( - 3.2 + 3.1 x ) - 8.72$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+0.14.

$$5.3+2x+0.28=6.1\left(-3.2+3.1x\right)-8.72$$

Add 5.3 and 0.28 to get 5.58.

$$5.58+2x=6.1\left(-3.2+3.1x\right)-8.72$$

Use the distributive property to multiply 6.1 by -3.2+3.1x.

$$5.58+2x=-19.52+18.91x-8.72$$

Subtract 8.72 from -19.52 to get -28.24.

$$5.58+2x=-28.24+18.91x$$

Subtract 18.91x from both sides.

$$5.58+2x-18.91x=-28.24$$

Combine 2x and -18.91x to get -16.91x.

$$5.58-16.91x=-28.24$$

Subtract 5.58 from both sides.

$$-16.91x=-28.24-5.58$$

Subtract 5.58 from -28.24 to get -33.82.

$$-16.91x=-33.82$$

Divide both sides by -16.91.

$$x=\frac{-33.82}{-16.91}$$

Expand \frac{-33.82}{-16.91} by multiplying both numerator and the denominator by 100.

$$x=\frac{-3382}{-1691}$$

Divide -3382 by -1691 to get 2.

$$x=2$$