3(2-x)+4=5-(3-10)-x

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Solution for 3(2-x)+4=5-(3-10)-x equation:


Simplifying
3(2 + -1x) + 4 = 5 + -1(3 + -10) + -1x
(2 * 3 + -1x * 3) + 4 = 5 + -1(3 + -10) + -1x
(6 + -3x) + 4 = 5 + -1(3 + -10) + -1x

Reorder the terms:
6 + 4 + -3x = 5 + -1(3 + -10) + -1x

Combine like terms: 6 + 4 = 10
10 + -3x = 5 + -1(3 + -10) + -1x

Combine like terms: 3 + -10 = -7
10 + -3x = 5 + -1(-7) + -1x

Multiply -1 * -7
10 + -3x = 5 + 7 + -1x

Combine like terms: 5 + 7 = 12
10 + -3x = 12 + -1x

Solving
10 + -3x = 12 + -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 = 12 + -1x + x

Combine like terms: -3x + x = -2x
10 + -2x = 12 + -1x + x

Combine like terms: -1x + x = 0
10 + -2x = 12 + 0
10 + -2x = 12

Add '-10' to each side of the equation.
10 + -10 + -2x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 12 + -10
-2x = 12 + -10

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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