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

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


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

Reorder the terms:
2 + -1(-5 + x) = 5 + 3(4x)
2 + (-5 * -1 + x * -1) = 5 + 3(4x)
2 + (5 + -1x) = 5 + 3(4x)

Combine like terms: 2 + 5 = 7
7 + -1x = 5 + 3(4x)

Remove parenthesis around (4x)
7 + -1x = 5 + 3 * 4x

Multiply 3 * 4
7 + -1x = 5 + 12x

Solving
7 + -1x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
7 + -1x + -12x = 5 + 12x + -12x

Combine like terms: -1x + -12x = -13x
7 + -13x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -13x = 5 + 0
7 + -13x = 5

Add '-7' to each side of the equation.
7 + -7 + -13x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -13x = 5 + -7
-13x = 5 + -7

Combine like terms: 5 + -7 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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