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

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


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

Reorder the terms:
6(-2 + x) + 7 = 3 + 5x
(-2 * 6 + x * 6) + 7 = 3 + 5x
(-12 + 6x) + 7 = 3 + 5x

Reorder the terms:
-12 + 7 + 6x = 3 + 5x

Combine like terms: -12 + 7 = -5
-5 + 6x = 3 + 5x

Solving
-5 + 6x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 6x + -5x = 3 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-5 + 1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 1x = 3 + 0
-5 + 1x = 3

Add '5' to each side of the equation.
-5 + 5 + 1x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 3 + 5
1x = 3 + 5

Combine like terms: 3 + 5 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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