Question

Help please! show your steps please​

Answer 1

Answer:

x = -9

Step-by-step explanation:

To solve the equation

• Simplify each side

• Separate the variable on one side and the numerical term on the other side

• Make the coefficient of the variable equal 1

Let us do these steps with our question to find x

∵ 4(2x + 7) = 12 - 2(10 - 2x)

→ Simplify each side

∵ 4(2x) + 4(7) = 12 - 2(10) - 2(-2x)

∴ 8x + 28 = 12 - 20 + 4x

→ Add the like terms in the right side

∵ 8x + 28 = (12 - 20) + 4x

∴ 8x + 28 = -8 + 4x

→ Subtract 28 from both sides

∵ 8x + 28 - 28 = -8 - 28 + 4x

∴ 8x = -36 + 4x

→ Subtract 4x from both sides

∵ 8x - 4x = -36 + 4x - 4x

∴ 4x = -36

→ Make coefficient of x equal 1 by dividing both sides by 4

∴ $\frac{4x}{4}=\frac{-36}{4}$

∴ x = -9