3(x+5)-2(4-x)=11

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Solution for 3(x+5)-2(4-x)=11 equation:


Simplifying
3(x + 5) + -2(4 + -1x) = 11

Reorder the terms:
3(5 + x) + -2(4 + -1x) = 11
(5 * 3 + x * 3) + -2(4 + -1x) = 11
(15 + 3x) + -2(4 + -1x) = 11
15 + 3x + (4 * -2 + -1x * -2) = 11
15 + 3x + (-8 + 2x) = 11

Reorder the terms:
15 + -8 + 3x + 2x = 11

Combine like terms: 15 + -8 = 7
7 + 3x + 2x = 11

Combine like terms: 3x + 2x = 5x
7 + 5x = 11

Solving
7 + 5x = 11

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 11 + -7
5x = 11 + -7

Combine like terms: 11 + -7 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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