Solve for w 5(w-13)+2(w-25)=11

5(w-13)+2(w-25)=11

Simplify 5(w-13)+2(w-25).

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Simplify each term.

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Apply the distributive property.

5w+5⋅-13+2(w-25)=11

Multiply 5 by -13.

5w-65+2(w-25)=11

Apply the distributive property.

5w-65+2w+2⋅-25=11

Multiply 2 by -25.

5w-65+2w-50=11

Simplify by adding terms.

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Add 5w and 2w.

7w-65-50=11

Subtract 50 from -65.

7w-115=11

Move all terms not containing w to the right side of the equation.

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Add 115 to both sides of the equation.

7w=11+115

Add 11 and 115.

7w=126

Divide each term by 7 and simplify.

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Divide each term in 7w=126 by 7.

7w7=1267

Cancel the common factor of 7.

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Cancel the common factor.

7w7=1267

Divide w by 1.

w=1267

Divide 126 by 7.

w=18

Solve for w 5(w-13)+2(w-25)=11