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

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


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

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

Reorder the terms:
-10 + 4 + 4x + -1x = x + 4

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

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

Reorder the terms:
-6 + 3x = 4 + x

Solving
-6 + 3x = 4 + 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 = 4 + x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = 4 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = 4 + 0
-6 + 2x = 4

Add '6' to each side of the equation.
-6 + 6 + 2x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 4 + 6
2x = 4 + 6

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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