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

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Solution for 10-2(x-4)=3x+1 equation:


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

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

Combine like terms: 10 + 8 = 18
18 + -2x = 3x + 1

Reorder the terms:
18 + -2x = 1 + 3x

Solving
18 + -2x = 1 + 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.
18 + -2x + -3x = 1 + 3x + -3x

Combine like terms: -2x + -3x = -5x
18 + -5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -5x = 1 + 0
18 + -5x = 1

Add '-18' to each side of the equation.
18 + -18 + -5x = 1 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 1 + -18
-5x = 1 + -18

Combine like terms: 1 + -18 = -17
-5x = -17

Divide each side by '-5'.
x = 3.4

Simplifying
x = 3.4

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