6(x-3)-2(x+5)+10x=3

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Solution for 6(x-3)-2(x+5)+10x=3 equation:


Simplifying
6(x + -3) + -2(x + 5) + 10x = 3

Reorder the terms:
6(-3 + x) + -2(x + 5) + 10x = 3
(-3 * 6 + x * 6) + -2(x + 5) + 10x = 3
(-18 + 6x) + -2(x + 5) + 10x = 3

Reorder the terms:
-18 + 6x + -2(5 + x) + 10x = 3
-18 + 6x + (5 * -2 + x * -2) + 10x = 3
-18 + 6x + (-10 + -2x) + 10x = 3

Reorder the terms:
-18 + -10 + 6x + -2x + 10x = 3

Combine like terms: -18 + -10 = -28
-28 + 6x + -2x + 10x = 3

Combine like terms: 6x + -2x = 4x
-28 + 4x + 10x = 3

Combine like terms: 4x + 10x = 14x
-28 + 14x = 3

Solving
-28 + 14x = 3

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 14x = 3 + 28

Combine like terms: -28 + 28 = 0
0 + 14x = 3 + 28
14x = 3 + 28

Combine like terms: 3 + 28 = 31
14x = 31

Divide each side by '14'.
x = 2.214285714

Simplifying
x = 2.214285714

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