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

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Solution for 3(4x-1)+5=5x+2(10x) equation:


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

Reorder the terms:
3(-1 + 4x) + 5 = 5x + 2(10x)
(-1 * 3 + 4x * 3) + 5 = 5x + 2(10x)
(-3 + 12x) + 5 = 5x + 2(10x)

Reorder the terms:
-3 + 5 + 12x = 5x + 2(10x)

Combine like terms: -3 + 5 = 2
2 + 12x = 5x + 2(10x)

Remove parenthesis around (10x)
2 + 12x = 5x + 2 * 10x

Multiply 2 * 10
2 + 12x = 5x + 20x

Combine like terms: 5x + 20x = 25x
2 + 12x = 25x

Solving
2 + 12x = 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
2 + 12x + -25x = 25x + -25x

Combine like terms: 12x + -25x = -13x
2 + -13x = 25x + -25x

Combine like terms: 25x + -25x = 0
2 + -13x = 0

Add '-2' to each side of the equation.
2 + -2 + -13x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 0 + -2
-13x = 0 + -2

Combine like terms: 0 + -2 = -2
-13x = -2

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

Simplifying
x = 0.1538461538

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