6(3x-7)-7=6(x-3)+29

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Solution for 6(3x-7)-7=6(x-3)+29 equation:


Simplifying
6(3x + -7) + -7 = 6(x + -3) + 29

Reorder the terms:
6(-7 + 3x) + -7 = 6(x + -3) + 29
(-7 * 6 + 3x * 6) + -7 = 6(x + -3) + 29
(-42 + 18x) + -7 = 6(x + -3) + 29

Reorder the terms:
-42 + -7 + 18x = 6(x + -3) + 29

Combine like terms: -42 + -7 = -49
-49 + 18x = 6(x + -3) + 29

Reorder the terms:
-49 + 18x = 6(-3 + x) + 29
-49 + 18x = (-3 * 6 + x * 6) + 29
-49 + 18x = (-18 + 6x) + 29

Reorder the terms:
-49 + 18x = -18 + 29 + 6x

Combine like terms: -18 + 29 = 11
-49 + 18x = 11 + 6x

Solving
-49 + 18x = 11 + 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.
-49 + 18x + -6x = 11 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-49 + 12x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-49 + 12x = 11 + 0
-49 + 12x = 11

Add '49' to each side of the equation.
-49 + 49 + 12x = 11 + 49

Combine like terms: -49 + 49 = 0
0 + 12x = 11 + 49
12x = 11 + 49

Combine like terms: 11 + 49 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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