Question
Solve the equation
x=0
Evaluate
8(5x−3)=6(−3x−4)
Calculate
More Steps

Evaluate
8(5x−3)
Apply the distributive property
8×5x−8×3
Multiply the numbers
40x−8×3
Multiply the numbers
40x−24
40x−24=6(−3x−4)
Calculate
More Steps

Evaluate
6(−3x−4)
Apply the distributive property
6(−3x)−6×4
Multiply the numbers
More Steps

Evaluate
6(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−6×3
Multiply the numbers
−18
−18x−6×4
Multiply the numbers
−18x−24
40x−24=−18x−24
Move the expression to the left side
40x−24−(−18x−24)=0
Calculate
More Steps

Add the terms
40x−24−(−18x−24)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
40x−24+18x+24
Add the terms
More Steps

Evaluate
40x+18x
Collect like terms by calculating the sum or difference of their coefficients
(40+18)x
Add the numbers
58x
58x−24+24
Since two opposites add up to 0,remove them form the expression
58x
58x=0
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
8(5x−3)=6(−3x−4)
Multiply
More Steps

Evaluate
8(5x−3)
Apply the distributive property
8×5x−8×3
Multiply the numbers
40x−8×3
Multiply the numbers
40x−24
40x−24=6(−3x−4)
Multiply
More Steps

Evaluate
6(−3x−4)
Apply the distributive property
6(−3x)−6×4
Multiply the numbers
More Steps

Evaluate
6(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−6×3
Multiply the numbers
−18
−18x−6×4
Multiply the numbers
−18x−24
40x−24=−18x−24
Move the variable to the left side
58x−24=−24
Move the constant to the right side
58x=0
Solution
x=0
Show Solution
