6(x-7)-3(4-x)=0

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Solution for 6(x-7)-3(4-x)=0 equation:


Simplifying
6(x + -7) + -3(4 + -1x) = 0

Reorder the terms:
6(-7 + x) + -3(4 + -1x) = 0
(-7 * 6 + x * 6) + -3(4 + -1x) = 0
(-42 + 6x) + -3(4 + -1x) = 0
-42 + 6x + (4 * -3 + -1x * -3) = 0
-42 + 6x + (-12 + 3x) = 0

Reorder the terms:
-42 + -12 + 6x + 3x = 0

Combine like terms: -42 + -12 = -54
-54 + 6x + 3x = 0

Combine like terms: 6x + 3x = 9x
-54 + 9x = 0

Solving
-54 + 9x = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 9x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 9x = 0 + 54
9x = 0 + 54

Combine like terms: 0 + 54 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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