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2x+4-\left(x+3\right)=1-3x
Use the distributive property to multiply 2 by x+2.
2x+4-x-3=1-3x
To find the opposite of x+3, find the opposite of each term.
x+4-3=1-3x
Combine 2x and -x to get x.
x+1=1-3x
Subtract 3 from 4 to get 1.
x+1+3x=1
Add 3x to both sides.
4x+1=1
Combine x and 3x to get 4x.
4x=1-1
Subtract 1 from both sides.
4x=0
Subtract 1 from 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, x must be equal to 0.