35-3(3-4x)+15=13x+2

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Solution for 35-3(3-4x)+15=13x+2 equation:


Simplifying
35 + -3(3 + -4x) + 15 = 13x + 2
35 + (3 * -3 + -4x * -3) + 15 = 13x + 2
35 + (-9 + 12x) + 15 = 13x + 2

Reorder the terms:
35 + -9 + 15 + 12x = 13x + 2

Combine like terms: 35 + -9 = 26
26 + 15 + 12x = 13x + 2

Combine like terms: 26 + 15 = 41
41 + 12x = 13x + 2

Reorder the terms:
41 + 12x = 2 + 13x

Solving
41 + 12x = 2 + 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.
41 + 12x + -13x = 2 + 13x + -13x

Combine like terms: 12x + -13x = -1x
41 + -1x = 2 + 13x + -13x

Combine like terms: 13x + -13x = 0
41 + -1x = 2 + 0
41 + -1x = 2

Add '-41' to each side of the equation.
41 + -41 + -1x = 2 + -41

Combine like terms: 41 + -41 = 0
0 + -1x = 2 + -41
-1x = 2 + -41

Combine like terms: 2 + -41 = -39
-1x = -39

Divide each side by '-1'.
x = 39

Simplifying
x = 39

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