7-3(x+4)=5-3(1-x)

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Solution for 7-3(x+4)=5-3(1-x) equation:


Simplifying
7 + -3(x + 4) = 5 + -3(1 + -1x)

Reorder the terms:
7 + -3(4 + x) = 5 + -3(1 + -1x)
7 + (4 * -3 + x * -3) = 5 + -3(1 + -1x)
7 + (-12 + -3x) = 5 + -3(1 + -1x)

Combine like terms: 7 + -12 = -5
-5 + -3x = 5 + -3(1 + -1x)
-5 + -3x = 5 + (1 * -3 + -1x * -3)
-5 + -3x = 5 + (-3 + 3x)

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

Solving
-5 + -3x = 2 + 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.
-5 + -3x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + -6x = 2 + 0
-5 + -6x = 2

Add '5' to each side of the equation.
-5 + 5 + -6x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 2 + 5
-6x = 2 + 5

Combine like terms: 2 + 5 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

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