10x+4=8x-(2-3x)

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Solution for 10x+4=8x-(2-3x) equation:


Simplifying
10x + 4 = 8x + -1(2 + -3x)

Reorder the terms:
4 + 10x = 8x + -1(2 + -3x)
4 + 10x = 8x + (2 * -1 + -3x * -1)
4 + 10x = 8x + (-2 + 3x)

Reorder the terms:
4 + 10x = -2 + 8x + 3x

Combine like terms: 8x + 3x = 11x
4 + 10x = -2 + 11x

Solving
4 + 10x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
4 + 10x + -11x = -2 + 11x + -11x

Combine like terms: 10x + -11x = -1x
4 + -1x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + -1x = -2 + 0
4 + -1x = -2

Add '-4' to each side of the equation.
4 + -4 + -1x = -2 + -4

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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