# Solve for x 2/5x-3/10x=2 25x-310x=2
Simplify 25x-310x.
Simplify each term.
Combine 25 and x.
2×5-310x=2
Combine x and 310.
2×5-x⋅310=2
Move 3 to the left of x.
2×5-3×10=2
2×5-3×10=2
To write 2×5 as a fraction with a common denominator, multiply by 22.
2×5⋅22-3×10=2
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 2×5 and 22.
2x⋅25⋅2-3×10=2
Multiply 5 by 2.
2x⋅210-3×10=2
2x⋅210-3×10=2
Combine the numerators over the common denominator.
2x⋅2-3×10=2
Simplify the numerator.
Factor x out of 2x⋅2-3x.
Factor x out of 2x⋅2.
x(2⋅2)-3×10=2
Factor x out of -3x.
x(2⋅2)+x⋅-310=2
Factor x out of x(2⋅2)+x⋅-3.
x(2⋅2-3)10=2
x(2⋅2-3)10=2
Multiply 2 by 2.
x(4-3)10=2
Subtract 3 from 4.
x⋅110=2
x⋅110=2
Multiply x by 1.
x10=2
x10=2
Multiply both sides of the equation by 10.
10⋅x10=10⋅2
Simplify both sides of the equation.
Cancel the common factor of 10.
Cancel the common factor.
10⋅x10=10⋅2
Rewrite the expression.
x=10⋅2
x=10⋅2
Multiply 10 by 2.
x=20
x=20
Solve for x 2/5x-3/10x=2

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