7(x-3)=2+6(x-5)

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Solution for 7(x-3)=2+6(x-5) equation:


Simplifying
7(x + -3) = 2 + 6(x + -5)

Reorder the terms:
7(-3 + x) = 2 + 6(x + -5)
(-3 * 7 + x * 7) = 2 + 6(x + -5)
(-21 + 7x) = 2 + 6(x + -5)

Reorder the terms:
-21 + 7x = 2 + 6(-5 + x)
-21 + 7x = 2 + (-5 * 6 + x * 6)
-21 + 7x = 2 + (-30 + 6x)

Combine like terms: 2 + -30 = -28
-21 + 7x = -28 + 6x

Solving
-21 + 7x = -28 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-21 + 7x + -6x = -28 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-21 + 1x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 1x = -28 + 0
-21 + 1x = -28

Add '21' to each side of the equation.
-21 + 21 + 1x = -28 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -28 + 21
1x = -28 + 21

Combine like terms: -28 + 21 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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