If 4(x-3)=2x+7, what is the value of 4x-3?

Let's start by solving this equation using distribution method:

4(x - 3) = 2x + 7

4x - 12 = 2x + 7.

Move like terms on one side:

4x - 2x = 7 + 12

2x = 19

x = 9.5

Let's plug in x for 4x-3:

4x - 3

4 * 9.5 - 3

38 - 3

35

4x - 3 = 35

35

Step-by-step explanation:

Step 1:  Distribute

4(x - 3) = 2x + 7

4x - 12 = 2x + 7

Step 2:  Add 12 to both sides

4x - 12 + 12 = 2x + 7 + 12

4x = 2x + 19

Step 3:  Subtract 2x from both sides

4x - 2x = 2x + 19 - 2x

2x = 19

Step 4:  Divide both sides by 2

2x / 2 = 19 / 2

x = 9.5

Step 5:  Plug in 9.5 for x into 4x - 3

4x - 3

4(9.5) - 3

38 - 3

35

 35

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629