2+5(x-1)=2(x-6)

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Solution for 2+5(x-1)=2(x-6) equation:


Simplifying
2 + 5(x + -1) = 2(x + -6)

Reorder the terms:
2 + 5(-1 + x) = 2(x + -6)
2 + (-1 * 5 + x * 5) = 2(x + -6)
2 + (-5 + 5x) = 2(x + -6)

Combine like terms: 2 + -5 = -3
-3 + 5x = 2(x + -6)

Reorder the terms:
-3 + 5x = 2(-6 + x)
-3 + 5x = (-6 * 2 + x * 2)
-3 + 5x = (-12 + 2x)

Solving
-3 + 5x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 5x + -2x = -12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-3 + 3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 3x = -12 + 0
-3 + 3x = -12

Add '3' to each side of the equation.
-3 + 3 + 3x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -12 + 3
3x = -12 + 3

Combine like terms: -12 + 3 = -9
3x = -9

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

Simplifying
x = -3

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