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

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


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

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

Combine like terms: 2x + 3x = 5x
-14 + 5x = 2x + -8

Reorder the terms:
-14 + 5x = -8 + 2x

Solving
-14 + 5x = -8 + 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.
-14 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-14 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 3x = -8 + 0
-14 + 3x = -8

Add '14' to each side of the equation.
-14 + 14 + 3x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -8 + 14
3x = -8 + 14

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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