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

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


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

Reorder the terms:
2(4 + x) = 5(3x + -7)
(4 * 2 + x * 2) = 5(3x + -7)
(8 + 2x) = 5(3x + -7)

Reorder the terms:
8 + 2x = 5(-7 + 3x)
8 + 2x = (-7 * 5 + 3x * 5)
8 + 2x = (-35 + 15x)

Solving
8 + 2x = -35 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
8 + 2x + -15x = -35 + 15x + -15x

Combine like terms: 2x + -15x = -13x
8 + -13x = -35 + 15x + -15x

Combine like terms: 15x + -15x = 0
8 + -13x = -35 + 0
8 + -13x = -35

Add '-8' to each side of the equation.
8 + -8 + -13x = -35 + -8

Combine like terms: 8 + -8 = 0
0 + -13x = -35 + -8
-13x = -35 + -8

Combine like terms: -35 + -8 = -43
-13x = -43

Divide each side by '-13'.
x = 3.307692308

Simplifying
x = 3.307692308

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