which steps can be used in order to determine the solution to -1.3 + 4.6 x = 0.3 + 4x
Answers
Answer:
-1.3 + 4.6x = 0.3 + 4x
0.6x = 1.6
x = 1.6/0.6
x = 2.67
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Simplifying 2.4(2x + 3) = 0.1(2x + 3)
Reorder the terms: 2.4(3 + 2x) = 0.1(2x + 3)
(3 * 2.4 + 2x * 2.4) = 0.1(2x + 3)
(7.2 + 4.8x) = 0.1(2x + 3)
Reorder the terms: 7.2 + 4.8x = 0.1(3 + 2x)
7.2 + 4.8x = (3 * 0.1 + 2x * 0.1)
7.2 + 4.8x = (0.3 + 0.2x)
Solving 7.2 + 4.8x = 0.3 + 0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.2x' to each side of the equation.
7.2 + 4.8x + -0.2x = 0.3 + 0.2x + -0.2x
Combine like terms:
4.8x + -0.2x = 4.6x 7.2 + 4.6x = 0.3 + 0.2x + -0.2x
Combine like terms
: 0.2x + -0.2x = 0.0 7.2 + 4.6x = 0.3 + 0.0 7.2 + 4.6x = 0.3
Add '-7.2' to each side of the equation. 7.2 + -7.2 + 4.6x = 0.3 + -7.2
Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 4.6x = 0.3 + -7.2 4.6x = 0.3 + -7.2
Combine like terms: 0.3 + -7.2 = -6.9 4.6x = -6.9
Divide each side by '4.6'. x = -1.5
Simplifying x = -1.5