Question

(iv) 7(3 - 2x) + 3(5 - 4x) = 45​

Answer 1

Simplifying

7(3 + -2x) + 3(5 + -4x) = 45

(3 * 7 + -2x * 7) + 3(5 + -4x) = 45

(21 + -14x) + 3(5 + -4x) = 45

21 + -14x + (5 * 3 + -4x * 3) = 45

21 + -14x + (15 + -12x) = 45

Reorder the terms:

21 + 15 + -14x + -12x = 45

Combine like terms: 21 + 15 = 36

36 + -14x + -12x = 45

Combine like terms: -14x + -12x = -26x

36 + -26x = 45

Solving

36 + -26x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36' to each side of the equation.

36 + -36 + -26x = 45 + -36

Combine like terms: 36 + -36 = 0

0 + -26x = 45 + -36

-26x = 45 + -36

Combine like terms: 45 + -36 = 9

-26x = 9

Divide each side by '-26'.

x = -0.3461538462

Simplifying

x = -0.3461538462

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

7( 3 - 2x) +3( 5 - 4x ) = 45

21-14x+15-12x = 45

36-26x = 45

- 26x = 45-36

- 26x = 9

X = -9 /26