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

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


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

Reorder the terms:
3 + 5x = -2(4 + -3x) + -2
3 + 5x = (4 * -2 + -3x * -2) + -2
3 + 5x = (-8 + 6x) + -2

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

Combine like terms: -8 + -2 = -10
3 + 5x = -10 + 6x

Solving
3 + 5x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 5x + -6x = -10 + 6x + -6x

Combine like terms: 5x + -6x = -1x
3 + -1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -1x = -10 + 0
3 + -1x = -10

Add '-3' to each side of the equation.
3 + -3 + -1x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -10 + -3
-1x = -10 + -3

Combine like terms: -10 + -3 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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