28-14(x-3)=2x+6

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Solution for 28-14(x-3)=2x+6 equation:


Simplifying
28 + -14(x + -3) = 2x + 6

Reorder the terms:
28 + -14(-3 + x) = 2x + 6
28 + (-3 * -14 + x * -14) = 2x + 6
28 + (42 + -14x) = 2x + 6

Combine like terms: 28 + 42 = 70
70 + -14x = 2x + 6

Reorder the terms:
70 + -14x = 6 + 2x

Solving
70 + -14x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
70 + -14x + -2x = 6 + 2x + -2x

Combine like terms: -14x + -2x = -16x
70 + -16x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
70 + -16x = 6 + 0
70 + -16x = 6

Add '-70' to each side of the equation.
70 + -70 + -16x = 6 + -70

Combine like terms: 70 + -70 = 0
0 + -16x = 6 + -70
-16x = 6 + -70

Combine like terms: 6 + -70 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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