2x-5(3x-7)=16

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Solution for 2x-5(3x-7)=16 equation:


Simplifying
2x + -5(3x + -7) = 16

Reorder the terms:
2x + -5(-7 + 3x) = 16
2x + (-7 * -5 + 3x * -5) = 16
2x + (35 + -15x) = 16

Reorder the terms:
35 + 2x + -15x = 16

Combine like terms: 2x + -15x = -13x
35 + -13x = 16

Solving
35 + -13x = 16

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + -13x = 16 + -35

Combine like terms: 35 + -35 = 0
0 + -13x = 16 + -35
-13x = 16 + -35

Combine like terms: 16 + -35 = -19
-13x = -19

Divide each side by '-13'.
x = 1.461538462

Simplifying
x = 1.461538462

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