2+5x-8=12x-10

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Solution for 2+5x-8=12x-10 equation:


Simplifying
2 + 5x + -8 = 12x + -10

Reorder the terms:
2 + -8 + 5x = 12x + -10

Combine like terms: 2 + -8 = -6
-6 + 5x = 12x + -10

Reorder the terms:
-6 + 5x = -10 + 12x

Solving
-6 + 5x = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 5x + -12x = -10 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-6 + -7x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -7x = -10 + 0
-6 + -7x = -10

Add '6' to each side of the equation.
-6 + 6 + -7x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -10 + 6
-7x = -10 + 6

Combine like terms: -10 + 6 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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