Question
Solve the equation
x=1348
Alternative Form
x=3.6˙92307˙
Evaluate
9(4x−7)−5(2x+3)=18
Move the expression to the left side
9(4x−7)−5(2x+3)−18=0
Calculate
More Steps

Evaluate
9(4x−7)−5(2x+3)−18
Expand the expression
More Steps

Calculate
9(4x−7)
Apply the distributive property
9×4x−9×7
Multiply the numbers
36x−9×7
Multiply the numbers
36x−63
36x−63−5(2x+3)−18
Expand the expression
More Steps

Calculate
−5(2x+3)
Apply the distributive property
−5×2x−5×3
Multiply the numbers
−10x−5×3
Multiply the numbers
−10x−15
36x−63−10x−15−18
Subtract the terms
More Steps

Evaluate
36x−10x
Collect like terms by calculating the sum or difference of their coefficients
(36−10)x
Subtract the numbers
26x
26x−63−15−18
Subtract the numbers
26x−96
26x−96=0
Move the constant to the right-hand side and change its sign
26x=0+96
Removing 0 doesn't change the value,so remove it from the expression
26x=96
Divide both sides
2626x=2696
Divide the numbers
x=2696
Solution
x=1348
Alternative Form
x=3.6˙92307˙
Show Solution

Rewrite the equation
13x=48
Evaluate
9(4x−7)−5(2x+3)=18
Evaluate
More Steps

Evaluate
9(4x−7)−5(2x+3)
Expand the expression
More Steps

Calculate
9(4x−7)
Apply the distributive property
9×4x−9×7
Multiply the numbers
36x−9×7
Multiply the numbers
36x−63
36x−63−5(2x+3)
Expand the expression
More Steps

Calculate
−5(2x+3)
Apply the distributive property
−5×2x−5×3
Multiply the numbers
−10x−5×3
Multiply the numbers
−10x−15
36x−63−10x−15
Subtract the terms
More Steps

Evaluate
36x−10x
Collect like terms by calculating the sum or difference of their coefficients
(36−10)x
Subtract the numbers
26x
26x−63−15
Subtract the numbers
26x−78
26x−78=18
Move the constant to the right side
26x=96
Solution
13x=48
Show Solution
