3(x-2)+8=7x+14

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Solution for 3(x-2)+8=7x+14 equation:


Simplifying
3(x + -2) + 8 = 7x + 14

Reorder the terms:
3(-2 + x) + 8 = 7x + 14
(-2 * 3 + x * 3) + 8 = 7x + 14
(-6 + 3x) + 8 = 7x + 14

Reorder the terms:
-6 + 8 + 3x = 7x + 14

Combine like terms: -6 + 8 = 2
2 + 3x = 7x + 14

Reorder the terms:
2 + 3x = 14 + 7x

Solving
2 + 3x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 3x + -7x = 14 + 7x + -7x

Combine like terms: 3x + -7x = -4x
2 + -4x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -4x = 14 + 0
2 + -4x = 14

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

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

Combine like terms: 14 + -2 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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