simplify. 3{[9(x-2)+7]-2[4(x+5)-36]}
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the equation:
3{[9(x-2)+7]-2[4(x+5)-36]}
Simplify the equation.
Solution:
The equation involves number distribution, since it contains parenthesis, and brackets. In order to be confused, we will start first in distributing the values inside the parenthesis.
3{[9(x-2)+7]-2[4(x+5)-36]}
3{[9x -18 +7]-2[ 4x + 20 -36]}
Now we can combine the like terms inside the brackets
3{[9x - 1] -2 [4x -16]}
Distribute 2 on each value inside the bracket.
3{9x - 1 - 8x +16}
3 { x + 15}
Distribute 3 to determine the final answer.
Final answer: 3x + 45
In order to find the value of x, simply transpose 45 on the other side of the equation. Note that when transposing a number, the sign changes.
3x = -45
x = -15
The value of x is -15.