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

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


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

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

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

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

Combine like terms: 5 + 10 = 15
10 + -3x = 15 + -3x + -1x

Combine like terms: -3x + -1x = -4x
10 + -3x = 15 + -4x

Solving
10 + -3x = 15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -3x + 4x = 15 + -4x + 4x

Combine like terms: -3x + 4x = 1x
10 + 1x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 1x = 15 + 0
10 + 1x = 15

Add '-10' to each side of the equation.
10 + -10 + 1x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 15 + -10
1x = 15 + -10

Combine like terms: 15 + -10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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