3(x+7)+2(x-4)=26

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Solution for 3(x+7)+2(x-4)=26 equation:


Simplifying
3(x + 7) + 2(x + -4) = 26

Reorder the terms:
3(7 + x) + 2(x + -4) = 26
(7 * 3 + x * 3) + 2(x + -4) = 26
(21 + 3x) + 2(x + -4) = 26

Reorder the terms:
21 + 3x + 2(-4 + x) = 26
21 + 3x + (-4 * 2 + x * 2) = 26
21 + 3x + (-8 + 2x) = 26

Reorder the terms:
21 + -8 + 3x + 2x = 26

Combine like terms: 21 + -8 = 13
13 + 3x + 2x = 26

Combine like terms: 3x + 2x = 5x
13 + 5x = 26

Solving
13 + 5x = 26

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 5x = 26 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 26 + -13
5x = 26 + -13

Combine like terms: 26 + -13 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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