Find the value of x: (2x — 7) — 3(3x + 8) = 4x — 9 please
Answers
Answer:
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Answer:
Simplifying
2x + -7 + -3(3x + 8) + -4x + 9 = 0
Reorder the terms:
2x + -7 + -3(8 + 3x) + -4x + 9 = 0
2x + -7 + (8 * -3 + 3x * -3) + -4x + 9 = 0
2x + -7 + (-24 + -9x) + -4x + 9 = 0
Reorder the terms:
-7 + -24 + 9 + 2x + -9x + -4x = 0
Combine like terms: -7 + -24 = -31
-31 + 9 + 2x + -9x + -4x = 0
Combine like terms: -31 + 9 = -22
-22 + 2x + -9x + -4x = 0
Combine like terms: 2x + -9x = -7x
-22 + -7x + -4x = 0
Combine like terms: -7x + -4x = -11x
-22 + -11x = 0
Solving
-22 + -11x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '22' to each side of the equation.
-22 + 22 + -11x = 0 + 22
Combine like terms: -22 + 22 = 0
0 + -11x = 0 + 22
-11x = 0 + 22
Combine like terms: 0 + 22 = 22
-11x = 22
Divide each side by '-11'.
x = -2
Simplifying
x = -2
Step-by-step explanation: