26=7x+5(x-2)

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Solution for 26=7x+5(x-2) equation:


Simplifying
26 = 7x + 5(x + -2)

Reorder the terms:
26 = 7x + 5(-2 + x)
26 = 7x + (-2 * 5 + x * 5)
26 = 7x + (-10 + 5x)

Reorder the terms:
26 = -10 + 7x + 5x

Combine like terms: 7x + 5x = 12x
26 = -10 + 12x

Solving
26 = -10 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
26 + -12x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
26 + -12x = -10 + 0
26 + -12x = -10

Add '-26' to each side of the equation.
26 + -26 + -12x = -10 + -26

Combine like terms: 26 + -26 = 0
0 + -12x = -10 + -26
-12x = -10 + -26

Combine like terms: -10 + -26 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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