5(x+15)+2(-x+3)=6

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Solution for 5(x+15)+2(-x+3)=6 equation:


Simplifying
5(x + 15) + 2(-1x + 3) = 6

Reorder the terms:
5(15 + x) + 2(-1x + 3) = 6
(15 * 5 + x * 5) + 2(-1x + 3) = 6
(75 + 5x) + 2(-1x + 3) = 6

Reorder the terms:
75 + 5x + 2(3 + -1x) = 6
75 + 5x + (3 * 2 + -1x * 2) = 6
75 + 5x + (6 + -2x) = 6

Reorder the terms:
75 + 6 + 5x + -2x = 6

Combine like terms: 75 + 6 = 81
81 + 5x + -2x = 6

Combine like terms: 5x + -2x = 3x
81 + 3x = 6

Solving
81 + 3x = 6

Solving for variable 'x'.

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

Add '-81' to each side of the equation.
81 + -81 + 3x = 6 + -81

Combine like terms: 81 + -81 = 0
0 + 3x = 6 + -81
3x = 6 + -81

Combine like terms: 6 + -81 = -75
3x = -75

Divide each side by '3'.
x = -25

Simplifying
x = -25

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