(-4,7-x)+3,2=-1,06-3x
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To solve the equation (-4, 7 - x) + 3.2 = -1.06 - 3x, we need to simplify the left-hand side (LHS) and right-hand side (RHS) separately and then equate them to find the value of x.
Step 1: Simplify the LHS by adding -4 to (7 - x) and then adding 3.2: LHS = (-4) + (7 - x) + 3.2 LHS = 7 - x - 4 + 3.2 LHS = 6.2 - x
Step 2: Simplify the RHS: RHS = -1.06 - 3x
Step 3: Set the LHS equal to the RHS and solve for x: 6.2 - x = -1.06 - 3x
To solve for x, we need to isolate x on one side of the equation. Let's do that:
Step 4: Move the terms containing x to one side of the equation and the constant terms to the other side:
Add 3x to both sides: 6.2 - x + 3x = -1.06 - 3x + 3x 6.2 + 2x = -1.06
Step 5: Move the constant term (-1.06) to the other side by subtracting it from both sides:
6.2 + 2x - 1.06 = -1.06 - 1.06 5.14 + 2x = -2.12
Step 6: Now, isolate x by moving the constant term (5.14) to the other side by subtracting it from both sides:
5.14 + 2x - 5.14 = -2.12 - 5.14 2x = -7.26
Step 7: Finally, solve for x by dividing both sides by 2:
x = -7.26 / 2 x = -3.63
Therefore, the solution to the equation is x = -3.63.
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