Question

Heccin hurry

Answer 1

Question:

The model below represents 4x + (-4) = -2x + 8.

4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.

What is the value of x when solving the equation 4x + (-4) = -2x + 8 using the algebra tiles?

x = -4

x = -2

x = 2

x = 4

Answer:

x = 2

Step-by-step explanation:

Given

4x + (-4) = -2x + 8 which represents a model of coloured tiles of various lengths (shapes)

Required

Find x

To find x, we'll solve the expression 4x + (-4) = -2x + 8 using the knowledge of algebra.

4x + (-4) = -2x + 8

Open bracket

4x - 4 = -2x + 8

Collect like terms

4x + 2x = 4 + 8

Perform addition arithmetic operation on both sides of the equation

6x = 12

Multiply both sides by ⅙

⅙ * 6x = ⅙ * 12

x = 2

Hence, the value of x that satisfies the expression 4x + (-4) = -2x + 8 is 2

Answer 2

Answer:

x = 2

Step-by-step explanation:

Given the equation model 4x+(-4) = -2x+8

To find the value of x, the following steps must be followed

$4x+(-4) = -2x+8\\4x-4 = -2x+8\\subtracting\ 8\ from\ both\ sides\\4x-4-8=-2x+8-8\\4x-12=-2x\\4x+2x=12\\6x=12\\x=\frac{12}{6}\\ x = 2$

The value of x is 2