10-6(x+1)=-8x+14

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Solution for 10-6(x+1)=-8x+14 equation:


Simplifying
10 + -6(x + 1) = -8x + 14

Reorder the terms:
10 + -6(1 + x) = -8x + 14
10 + (1 * -6 + x * -6) = -8x + 14
10 + (-6 + -6x) = -8x + 14

Combine like terms: 10 + -6 = 4
4 + -6x = -8x + 14

Reorder the terms:
4 + -6x = 14 + -8x

Solving
4 + -6x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4 + -6x + 8x = 14 + -8x + 8x

Combine like terms: -6x + 8x = 2x
4 + 2x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 2x = 14 + 0
4 + 2x = 14

Add '-4' to each side of the equation.
4 + -4 + 2x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 14 + -4
2x = 14 + -4

Combine like terms: 14 + -4 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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