6-2(4-x)+3=5x-2

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Solution for 6-2(4-x)+3=5x-2 equation:


Simplifying
6 + -2(4 + -1x) + 3 = 5x + -2
6 + (4 * -2 + -1x * -2) + 3 = 5x + -2
6 + (-8 + 2x) + 3 = 5x + -2

Reorder the terms:
6 + -8 + 3 + 2x = 5x + -2

Combine like terms: 6 + -8 = -2
-2 + 3 + 2x = 5x + -2

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

Reorder the terms:
1 + 2x = -2 + 5x

Solving
1 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 2x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
1 + -3x = -2 + 0
1 + -3x = -2

Add '-1' to each side of the equation.
1 + -1 + -3x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -2 + -1
-3x = -2 + -1

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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