10x-20-3x+6=4x-2

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Solution for 10x-20-3x+6=4x-2 equation:


Simplifying
10x + -20 + -3x + 6 = 4x + -2

Reorder the terms:
-20 + 6 + 10x + -3x = 4x + -2

Combine like terms: -20 + 6 = -14
-14 + 10x + -3x = 4x + -2

Combine like terms: 10x + -3x = 7x
-14 + 7x = 4x + -2

Reorder the terms:
-14 + 7x = -2 + 4x

Solving
-14 + 7x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 7x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-14 + 3x = -2 + 0
-14 + 3x = -2

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

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

Combine like terms: -2 + 14 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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