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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -3x = 3x + -2(2x + 3)

Reorder the terms:
10 + -3x = 3x + -2(3 + 2x)
10 + -3x = 3x + (3 * -2 + 2x * -2)
10 + -3x = 3x + (-6 + -4x)

Reorder the terms:
10 + -3x = -6 + 3x + -4x

Combine like terms: 3x + -4x = -1x
10 + -3x = -6 + -1x

Solving
10 + -3x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -3x + x = -6 + -1x + x

Combine like terms: -3x + x = -2x
10 + -2x = -6 + -1x + x

Combine like terms: -1x + x = 0
10 + -2x = -6 + 0
10 + -2x = -6

Add '-10' to each side of the equation.
10 + -10 + -2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -6 + -10
-2x = -6 + -10

Combine like terms: -6 + -10 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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