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