15(x+6)+10(x-4)=1

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Solution for 15(x+6)+10(x-4)=1 equation: 


Simplifying
15(x + 6) + 10(x + -4) = 1

Reorder the terms:
15(6 + x) + 10(x + -4) = 1
(6 * 15 + x * 15) + 10(x + -4) = 1
(90 + 15x) + 10(x + -4) = 1

Reorder the terms:
90 + 15x + 10(-4 + x) = 1
90 + 15x + (-4 * 10 + x * 10) = 1
90 + 15x + (-40 + 10x) = 1

Reorder the terms:
90 + -40 + 15x + 10x = 1

Combine like terms: 90 + -40 = 50
50 + 15x + 10x = 1

Combine like terms: 15x + 10x = 25x
50 + 25x = 1

Solving
50 + 25x = 1

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 25x = 1 + -50

Combine like terms: 50 + -50 = 0
0 + 25x = 1 + -50
25x = 1 + -50

Combine like terms: 1 + -50 = -49
25x = -49

Divide each side by '25'.
x = -1.96

Simplifying
x = -1.96

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