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

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


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

Reorder the terms:
4(-3 + x) + 10 = x + -2
(-3 * 4 + x * 4) + 10 = x + -2
(-12 + 4x) + 10 = x + -2

Reorder the terms:
-12 + 10 + 4x = x + -2

Combine like terms: -12 + 10 = -2
-2 + 4x = x + -2

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

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

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

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

Solving
4x = 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.
4x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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