Answer:
x = -3
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
4 ( 2x - 1 ) = 3x - 19
→ Expand the brackets
8x - 4 = 3x - 19
→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side
5x - 4 = -19
→ Add -4 to both sides to isolate 5x
5x = -15
→ Divide both sides by 5 to isolate x and therefore find the value of x
x = -3
→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then x = -3 is correct.
4 ( 2x - 1 ) = 3x - 19
8x - 4 = 3x - 19
( 8 × -3 ) - 4 = ( 3 × -3 ) - 19
-24 - 4 = - 9 - 19
-28 = -28
So x = -3 is correct
