QuestionSolve for $x$ in the equation: $54 + 3 = 75x + 58 - 87x$ . Answer as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. The equation given is $54 +3 =75x +58 -87x$ . The goal is to solve for $x$
3. The solution can be expressed as an integer, a simplified fraction, or a decimal number rounded to two places

STEP 2

First, simplify both sides of the equation by combining like terms.
On the left side, combine $54$ and 54 + =57On the right side, combine $75x$ and $-87x $75x -87x = -12x$ $So the equation becomes$ $57 = -12x +58$ $

STEP 3

Next, isolate the term with $x$ on one side of the equation. To do this, subtract $58$ from both sides of the equation $57 -58 = -12x +58 -58$ This simplifies to $-1 = -12x$

STEP 4

Finally, solve for $x$ by dividing both sides of the equation by $-12$ $x = -1 / -12$ This simplifies to $x =1/12$ So, the solution to the equation is $x =1/12$ .

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