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

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


Simplifying
4(x + -3) = 3 + -1(x + 5)

Reorder the terms:
4(-3 + x) = 3 + -1(x + 5)
(-3 * 4 + x * 4) = 3 + -1(x + 5)
(-12 + 4x) = 3 + -1(x + 5)

Reorder the terms:
-12 + 4x = 3 + -1(5 + x)
-12 + 4x = 3 + (5 * -1 + x * -1)
-12 + 4x = 3 + (-5 + -1x)

Combine like terms: 3 + -5 = -2
-12 + 4x = -2 + -1x

Solving
-12 + 4x = -2 + -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.
-12 + 4x + x = -2 + -1x + x

Combine like terms: 4x + x = 5x
-12 + 5x = -2 + -1x + x

Combine like terms: -1x + x = 0
-12 + 5x = -2 + 0
-12 + 5x = -2

Add '12' to each side of the equation.
-12 + 12 + 5x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -2 + 12
5x = -2 + 12

Combine like terms: -2 + 12 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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