3(x+2)+8=7x-10

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Solution for 3(x+2)+8=7x-10 equation: 


Simplifying
3(x + 2) + 8 = 7x + -10

Reorder the terms:
3(2 + x) + 8 = 7x + -10
(2 * 3 + x * 3) + 8 = 7x + -10
(6 + 3x) + 8 = 7x + -10

Reorder the terms:
6 + 8 + 3x = 7x + -10

Combine like terms: 6 + 8 = 14
14 + 3x = 7x + -10

Reorder the terms:
14 + 3x = -10 + 7x

Solving
14 + 3x = -10 + 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.
14 + 3x + -7x = -10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
14 + -4x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -4x = -10 + 0
14 + -4x = -10

Add '-14' to each side of the equation.
14 + -14 + -4x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -10 + -14
-4x = -10 + -14

Combine like terms: -10 + -14 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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