4-(3x-2)=x-10

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Solution for 4-(3x-2)=x-10 equation:


Simplifying
4 + -1(3x + -2) = x + -10

Reorder the terms:
4 + -1(-2 + 3x) = x + -10
4 + (-2 * -1 + 3x * -1) = x + -10
4 + (2 + -3x) = x + -10

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

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

Solving
6 + -3x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = -10 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -10 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -10 + 0
6 + -4x = -10

Add '-6' to each side of the equation.
6 + -6 + -4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -10 + -6
-4x = -10 + -6

Combine like terms: -10 + -6 = -16
-4x = -16

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

Simplifying
x = 4

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