3(x+5)-2(x+7)=11

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Solution for 3(x+5)-2(x+7)=11 equation:


Simplifying
3(x + 5) + -2(x + 7) = 11

Reorder the terms:
3(5 + x) + -2(x + 7) = 11
(5 * 3 + x * 3) + -2(x + 7) = 11
(15 + 3x) + -2(x + 7) = 11

Reorder the terms:
15 + 3x + -2(7 + x) = 11
15 + 3x + (7 * -2 + x * -2) = 11
15 + 3x + (-14 + -2x) = 11

Reorder the terms:
15 + -14 + 3x + -2x = 11

Combine like terms: 15 + -14 = 1
1 + 3x + -2x = 11

Combine like terms: 3x + -2x = 1x
1 + 1x = 11

Solving
1 + 1x = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 1x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 11 + -1
1x = 11 + -1

Combine like terms: 11 + -1 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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