Answer: x=1.875
Step-by-step explanation:
Step 1: you need to multiply the brackets.
-2(5x+8) = -10x-16
-10x-16=14+6x
Step 2: you want to put the x on one side, so take away 6 x from both sides
-10x-6x=-16x, 6x-6x=0
-16x-16=14
Step 3: add 16 to both sides so the whole numbers are on one side
-16+16=0, 14+16=30
-16x=30
Step 4: finally, divide the whole by the number of x, so 16
x=1.875
If you need to round it to a significant figure:
1 Sf: x=1.9
2Sf: x=1.78
3 Sf: the final answer only has three figures after the decimal.
The process used to achieve steps 1-4 in solving -2(5x + 8) = 14 + 6x is, Removing parenthesis by the distributive law, Rearranging the variable terms to a side, Combining the like terms, Diving both sides by the coefficient of the variable.
The given expression is -2(5x + 8) = 14 + 6x
Step 1: Removing the parenthesis (distributive law)
-2(5x + 8) = 14 + 6x
⇒ -10x - 16 = 14 + 6x
Step 2: Rearranging the variable terms to a side
⇒ -10x -6x = 14 + 16
Step 3: Combining the like terms
⇒ -16x = 30
Step 4: Diving both sides by the coefficient of the variable
⇒ x = -30/16
Step 5: Simplifying the fraction
⇒ x = -15/8
Therefore, the value of x in the given expression is -15/8 or - 1.875.
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