5(1-2x)+2(3-x)=3(x+4)+14

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Solution for 5(1-2x)+2(3-x)=3(x+4)+14 equation:


Simplifying
5(1 + -2x) + 2(3 + -1x) = 3(x + 4) + 14
(1 * 5 + -2x * 5) + 2(3 + -1x) = 3(x + 4) + 14
(5 + -10x) + 2(3 + -1x) = 3(x + 4) + 14
5 + -10x + (3 * 2 + -1x * 2) = 3(x + 4) + 14
5 + -10x + (6 + -2x) = 3(x + 4) + 14

Reorder the terms:
5 + 6 + -10x + -2x = 3(x + 4) + 14

Combine like terms: 5 + 6 = 11
11 + -10x + -2x = 3(x + 4) + 14

Combine like terms: -10x + -2x = -12x
11 + -12x = 3(x + 4) + 14

Reorder the terms:
11 + -12x = 3(4 + x) + 14
11 + -12x = (4 * 3 + x * 3) + 14
11 + -12x = (12 + 3x) + 14

Reorder the terms:
11 + -12x = 12 + 14 + 3x

Combine like terms: 12 + 14 = 26
11 + -12x = 26 + 3x

Solving
11 + -12x = 26 + 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.
11 + -12x + -3x = 26 + 3x + -3x

Combine like terms: -12x + -3x = -15x
11 + -15x = 26 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -15x = 26 + 0
11 + -15x = 26

Add '-11' to each side of the equation.
11 + -11 + -15x = 26 + -11

Combine like terms: 11 + -11 = 0
0 + -15x = 26 + -11
-15x = 26 + -11

Combine like terms: 26 + -11 = 15
-15x = 15

Divide each side by '-15'.
x = -1

Simplifying
x = -1

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