Question
Solve the equation
Solve for x
x=−1
Evaluate
−6(7x+6)−10=7(1+x)−4
Move the expression to the left side
−6(7x+6)−10−(7(1+x)−4)=0
Subtract the terms
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Evaluate
−6(7x+6)−10−(7(1+x)−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−6(7x+6)−10−7(1+x)+4
Add the numbers
−6(7x+6)−6−7(1+x)
−6(7x+6)−6−7(1+x)=0
Calculate
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Evaluate
−6(7x+6)−6−7(1+x)
Expand the expression
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Calculate
−6(7x+6)
Apply the distributive property
−6×7x−6×6
Multiply the numbers
−42x−6×6
Multiply the numbers
−42x−36
−42x−36−6−7(1+x)
Expand the expression
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Calculate
−7(1+x)
Apply the distributive property
−7×1−7x
Any expression multiplied by 1 remains the same
−7−7x
−42x−36−6−7−7x
Subtract the terms
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Evaluate
−42x−7x
Collect like terms by calculating the sum or difference of their coefficients
(−42−7)x
Subtract the numbers
−49x
−49x−36−6−7
Subtract the numbers
−49x−49
−49x−49=0
Move the constant to the right-hand side and change its sign
−49x=0+49
Removing 0 doesn't change the value,so remove it from the expression
−49x=49
Change the signs on both sides of the equation
49x=−49
Divide both sides
4949x=49−49
Divide the numbers
x=49−49
Solution
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Evaluate
49−49
Reduce the numbers
1−1
Calculate
−1
x=−1
Show Solution
Rewrite the equation
Rewrite in standard form
x=−1
Evaluate
−6(7x+6)−10=7(1+x)−4
Evaluate
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Evaluate
−6(7x+6)−10
Expand the expression
More Steps

Calculate
−6(7x+6)
Apply the distributive property
−6×7x−6×6
Multiply the numbers
−42x−6×6
Multiply the numbers
−42x−36
−42x−36−10
Subtract the numbers
−42x−46
−42x−46=7(1+x)−4
Evaluate
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Evaluate
7(1+x)−4
Expand the expression
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Calculate
7(1+x)
Apply the distributive property
7×1+7x
Any expression multiplied by 1 remains the same
7+7x
7+7x−4
Subtract the numbers
3+7x
−42x−46=3+7x
Move the variable to the left side
−49x−46=3
Move the constant to the right side
−49x=49
Multiply both sides
49x=−49
Solution
x=−1
Show Solution