Solve -0.7=0.4(3-5x)

$$- 0.7 = 0.4 ( 3 - 5 x )$$

Solve for x

$$x=0.95$$

Steps for Solving Linear Equation

Divide both sides by 0.4.

$$\frac{-0.7}{0.4}=3-5x$$

Expand \frac{-0.7}{0.4} by multiplying both numerator and the denominator by 10.

$$\frac{-7}{4}=3-5x$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$-\frac{7}{4}=3-5x$$

Swap sides so that all variable terms are on the left hand side.

$$3-5x=-\frac{7}{4}$$

Subtract 3 from both sides.

$$-5x=-\frac{7}{4}-3$$

Convert 3 to fraction \frac{12}{4}.

$$-5x=-\frac{7}{4}-\frac{12}{4}$$

Since -\frac{7}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$-5x=\frac{-7-12}{4}$$

Subtract 12 from -7 to get -19.

$$-5x=-\frac{19}{4}$$

Divide both sides by -5.

$$x=\frac{-\frac{19}{4}}{-5}$$

Express \frac{-\frac{19}{4}}{-5} as a single fraction.

$$x=\frac{-19}{4\left(-5\right)}$$

Multiply 4 and -5 to get -20.

$$x=\frac{-19}{-20}$$

Fraction \frac{-19}{-20} can be simplified to \frac{19}{20} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{20}$$