2(x+5)+3(x+-2)=64

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Solution for 2(x+5)+3(x+-2)=64 equation:


Simplifying
2(x + 5) + 3(x + -2) = 64

Reorder the terms:
2(5 + x) + 3(x + -2) = 64
(5 * 2 + x * 2) + 3(x + -2) = 64
(10 + 2x) + 3(x + -2) = 64

Reorder the terms:
10 + 2x + 3(-2 + x) = 64
10 + 2x + (-2 * 3 + x * 3) = 64
10 + 2x + (-6 + 3x) = 64

Reorder the terms:
10 + -6 + 2x + 3x = 64

Combine like terms: 10 + -6 = 4
4 + 2x + 3x = 64

Combine like terms: 2x + 3x = 5x
4 + 5x = 64

Solving
4 + 5x = 64

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 64 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 64 + -4
5x = 64 + -4

Combine like terms: 64 + -4 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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