Question

1.8(1.1x−1.3)−1.88=−24.02

Answer 1

The solution will be x= -10

Simplifying the given expression

$1.8(1.1x - 1.3) - 1.88 = - 24.02$

Step1: Convert decimal to fraction

$1.8( \frac{11x}{10} - 1.3) - 1.88 = - 24.02$

$1.8( \frac{11x}{10} - \frac{13}{10} ) - 1.88 = - 24.02$

$\frac{18}{10} ( \frac{11x}{10} - \frac{13}{10} ) - 1.88 = - 24.02$

Step2: Make denominator common

$\frac{18}{10} ( \frac{11x - 13}{10}) - 1.88 = - 24.02$

Step3: Simplifying the fraction

$\frac{9}{5} ( \frac{11x - 13}{10}) - 1.88 = - 24.02$

Step4: Make denominator common

$\frac{9(11x - 13)}{5 \times 10} - \frac{1.88 \times 50}{50} = - 24.02$

$\frac{9(11x - 13)}{50} - \frac{94}{50} = - 24.02$

$\frac{9(11x - 13 - 94)}{50} = - 24.02$

$\frac{99x - 117 - 94}{50} = - 24.02$

Step5: Simplifying

$\frac{99x - 211}{50} = - 24.02$

$99x - 211 = - 24.02 \times 50$

$99x - 211 = - 1201$

$99x = - 1201 + 211$

$99x = - 990$

$x = \frac{ - 990}{99}$

$x = - 10$

Hence, the solution x=-10

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