Question
Solve the equation
x=1219
Alternative Form
x=1.583˙
Evaluate
2(7x−7)=7(2x−3)×7
Multiply the terms
2(7x−7)=49(2x−3)
Calculate
More Steps

Evaluate
2(7x−7)
Apply the distributive property
2×7x−2×7
Multiply the numbers
14x−2×7
Multiply the numbers
14x−14
14x−14=49(2x−3)
Calculate
More Steps

Evaluate
49(2x−3)
Apply the distributive property
49×2x−49×3
Multiply the numbers
98x−49×3
Multiply the numbers
98x−147
14x−14=98x−147
Move the expression to the left side
14x−14−(98x−147)=0
Calculate
More Steps

Add the terms
14x−14−(98x−147)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
14x−14−98x+147
Subtract the terms
More Steps

Evaluate
14x−98x
Collect like terms by calculating the sum or difference of their coefficients
(14−98)x
Subtract the numbers
−84x
−84x−14+147
Add the numbers
−84x+133
−84x+133=0
Move the constant to the right-hand side and change its sign
−84x=0−133
Removing 0 doesn't change the value,so remove it from the expression
−84x=−133
Change the signs on both sides of the equation
84x=133
Divide both sides
8484x=84133
Divide the numbers
x=84133
Solution
x=1219
Alternative Form
x=1.583˙
Show Solution

Rewrite the equation
12x=19
Evaluate
2(7x−7)=7(2x−3)×7
Evaluate
2(7x−7)=49(2x−3)
Multiply
More Steps

Evaluate
2(7x−7)
Apply the distributive property
2×7x−2×7
Multiply the numbers
14x−2×7
Multiply the numbers
14x−14
14x−14=49(2x−3)
Multiply
More Steps

Evaluate
49(2x−3)
Apply the distributive property
49×2x−49×3
Multiply the numbers
98x−49×3
Multiply the numbers
98x−147
14x−14=98x−147
Move the variable to the left side
−84x−14=−147
Move the constant to the right side
−84x=−133
Multiply both sides
84x=133
Solution
12x=19
Show Solution
