26=3(5x-2)+2

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Solution for 26=3(5x-2)+2 equation:


Simplifying
26 = 3(5x + -2) + 2

Reorder the terms:
26 = 3(-2 + 5x) + 2
26 = (-2 * 3 + 5x * 3) + 2
26 = (-6 + 15x) + 2

Reorder the terms:
26 = -6 + 2 + 15x

Combine like terms: -6 + 2 = -4
26 = -4 + 15x

Solving
26 = -4 + 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.
26 + -15x = -4 + 15x + -15x

Combine like terms: 15x + -15x = 0
26 + -15x = -4 + 0
26 + -15x = -4

Add '-26' to each side of the equation.
26 + -26 + -15x = -4 + -26

Combine like terms: 26 + -26 = 0
0 + -15x = -4 + -26
-15x = -4 + -26

Combine like terms: -4 + -26 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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