10-4x=6-3(-x+8)

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Solution for 10-4x=6-3(-x+8) equation:


Simplifying
10 + -4x = 6 + -3(-1x + 8)

Reorder the terms:
10 + -4x = 6 + -3(8 + -1x)
10 + -4x = 6 + (8 * -3 + -1x * -3)
10 + -4x = 6 + (-24 + 3x)

Combine like terms: 6 + -24 = -18
10 + -4x = -18 + 3x

Solving
10 + -4x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -4x + -3x = -18 + 3x + -3x

Combine like terms: -4x + -3x = -7x
10 + -7x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -7x = -18 + 0
10 + -7x = -18

Add '-10' to each side of the equation.
10 + -10 + -7x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -18 + -10
-7x = -18 + -10

Combine like terms: -18 + -10 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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