2=(x+5)+3(4x-7)

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Solution for 2=(x+5)+3(4x-7) equation: 


Simplifying
2 = (x + 5) + 3(4x + -7)

Reorder the terms:
2 = (5 + x) + 3(4x + -7)

Remove parenthesis around (5 + x)
2 = 5 + x + 3(4x + -7)

Reorder the terms:
2 = 5 + x + 3(-7 + 4x)
2 = 5 + x + (-7 * 3 + 4x * 3)
2 = 5 + x + (-21 + 12x)

Reorder the terms:
2 = 5 + -21 + x + 12x

Combine like terms: 5 + -21 = -16
2 = -16 + x + 12x

Combine like terms: x + 12x = 13x
2 = -16 + 13x

Solving
2 = -16 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + -13x = -16 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -13x = -16 + 0
2 + -13x = -16

Add '-2' to each side of the equation.
2 + -2 + -13x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = -16 + -2
-13x = -16 + -2

Combine like terms: -16 + -2 = -18
-13x = -18

Divide each side by '-13'.
x = 1.384615385

Simplifying
x = 1.384615385

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