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

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


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

Reorder the terms:
-6 + 3x + -2x = 5 + -3(4 + -1x)

Combine like terms: 3x + -2x = 1x
-6 + 1x = 5 + -3(4 + -1x)
-6 + 1x = 5 + (4 * -3 + -1x * -3)
-6 + 1x = 5 + (-12 + 3x)

Combine like terms: 5 + -12 = -7
-6 + 1x = -7 + 3x

Solving
-6 + 1x = -7 + 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.
-6 + 1x + -3x = -7 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-6 + -2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -2x = -7 + 0
-6 + -2x = -7

Add '6' to each side of the equation.
-6 + 6 + -2x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -7 + 6
-2x = -7 + 6

Combine like terms: -7 + 6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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