4x-(10-x)=8x-4

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Solution for 4x-(10-x)=8x-4 equation:


Simplifying
4x + -1(10 + -1x) = 8x + -4
4x + (10 * -1 + -1x * -1) = 8x + -4
4x + (-10 + 1x) = 8x + -4

Reorder the terms:
-10 + 4x + 1x = 8x + -4

Combine like terms: 4x + 1x = 5x
-10 + 5x = 8x + -4

Reorder the terms:
-10 + 5x = -4 + 8x

Solving
-10 + 5x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 5x + -8x = -4 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-10 + -3x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -3x = -4 + 0
-10 + -3x = -4

Add '10' to each side of the equation.
-10 + 10 + -3x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -4 + 10
-3x = -4 + 10

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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