Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−2
Evaluate
2−5(3−x)=7x−9
Move the expression to the left side
2−5(3−x)−(7x−9)=0
Subtract the terms
More Steps
Evaluate
2−5(3−x)−(7x−9)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2−5(3−x)−7x+9
Add the numbers
11−5(3−x)−7x
11−5(3−x)−7x=0
Calculate
More Steps
Evaluate
11−5(3−x)−7x
Expand the expression
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Calculate
−5(3−x)
Apply the distributive property
−5×3−(−5x)
Multiply the numbers
−15−(−5x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−15+5x
11−15+5x−7x
Subtract the numbers
−4+5x−7x
Subtract the terms
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Evaluate
5x−7x
Collect like terms by calculating the sum or difference of their coefficients
(5−7)x
Subtract the numbers
−2x
−4−2x
−4−2x=0
Move the constant to the right-hand side and change its sign
−2x=0+4
Removing 0 doesn't change the value,so remove it from the expression
−2x=4
Change the signs on both sides of the equation
2x=−4
Divide both sides
22x=2−4
Divide the numbers
x=2−4
Solution
More Steps
Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
x=−2
Show Solution
Rewrite the equation
x=−2
Evaluate
2−5(3−x)=7x−9
Evaluate
More Steps
Evaluate
2−5(3−x)
Expand the expression
More Steps
Calculate
−5(3−x)
Apply the distributive property
−5×3−(−5x)
Multiply the numbers
−15−(−5x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−15+5x
2−15+5x
Subtract the numbers
−13+5x
−13+5x=7x−9
Move the variable to the left side
−13−2x=−9
Move the constant to the right side
−2x=4
Multiply both sides
2x=−4
Solution
x=−2
Show Solution
Graph
