Algebra :
solve the following equations :
7(2x+5)-6(x+8)=7
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Answers
Answer:
Simplifying
7(2x + 5) + -6(x + 8) = 7
Reorder the terms:
7(5 + 2x) + -6(x + 8) = 7
(5 * 7 + 2x * 7) + -6(x + 8) = 7
(35 + 14x) + -6(x + 8) = 7
Reorder the terms:
35 + 14x + -6(8 + x) = 7
35 + 14x + (8 * -6 + x * -6) = 7
35 + 14x + (-48 + -6x) = 7
Reorder the terms:
35 + -48 + 14x + -6x = 7
Combine like terms: 35 + -48 = -13
-13 + 14x + -6x = 7
Combine like terms: 14x + -6x = 8x
-13 + 8x = 7
Solving
-13 + 8x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 8x = 7 + 13
Combine like terms: -13 + 13 = 0
0 + 8x = 7 + 13
8x = 7 + 13
Combine like terms: 7 + 13 = 20
8x = 20
Divide each side by '8'.
x = 2.5
Simplifying
x = 2.5
Step-by-step explanation:
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Answer:
5/2
Step-by-step explanation:
14x + 35 - 6x - 48 = 7
8x = 7 +48 -35
8x = 55 - 35
8x = 20
x = 20/8
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