Solve this equation for x.
0.5(5-7x) = 8-(4x+6)
2.5 - 3.5 x = 8 - 4 x - 6
4 x - 3.5 x = 8 - 6 - 2.5
.5 x = -.5
x = -1
To solve the equation:
Step 1: Distribute the 0.5 on the left side of the equation to simplify the expression:
0.5 * 5 - 0.5 * 7x = 8 - (4x + 6)
2.5 - 3.5x = 8 - 4x - 6
Step 2: Combine like terms on both sides of the equation:
-3.5x + 4x = 8 - 6 - 2.5
0.5x = -0.5
Step 3: Divide both sides of the equation by 0.5 to isolate x:
0.5x/0.5 = -0.5/0.5
x = -1
Therefore, the solution to the equation is x = -1.
To solve this equation for x, we need to simplify the expressions on both sides of the equation first. Let's follow the steps:
Step 1: Distribute the 0.5 to the terms inside the parentheses on the left side:
0.5 * 5 - 0.5 * 7x = 8 - (4x + 6)
Which simplifies to:
2.5 - 3.5x = 8 - (4x + 6)
Step 2: Distribute the negative sign inside the parentheses on the right side:
2.5 - 3.5x = 8 - 4x - 6
Which simplifies to:
2.5 - 3.5x = 2 - 4x
Step 3: Get rid of the parentheses on the right side by distributing the negative sign:
2.5 - 3.5x = 2 - 4x
Which simplifies to:
2.5 - 3.5x = 2 - 4x
Step 4: Move terms with x to one side and the constant terms to the other side. Let's move -4x to the left side:
-4x + 3.5x = 2 - 2.5
Which simplifies to:
-0.5x = -0.5
Step 5: Divide both sides of the equation by -0.5 to solve for x:
x = -0.5 / -0.5
Which gives us:
x = 1
So the solution to the equation 0.5(5-7x) = 8-(4x+6) is x = 1.