67=6x+7(x-9)

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Solution for 67=6x+7(x-9) equation:


Simplifying
67 = 6x + 7(x + -9)

Reorder the terms:
67 = 6x + 7(-9 + x)
67 = 6x + (-9 * 7 + x * 7)
67 = 6x + (-63 + 7x)

Reorder the terms:
67 = -63 + 6x + 7x

Combine like terms: 6x + 7x = 13x
67 = -63 + 13x

Solving
67 = -63 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
67 + -13x = -63 + 13x + -13x

Combine like terms: 13x + -13x = 0
67 + -13x = -63 + 0
67 + -13x = -63

Add '-67' to each side of the equation.
67 + -67 + -13x = -63 + -67

Combine like terms: 67 + -67 = 0
0 + -13x = -63 + -67
-13x = -63 + -67

Combine like terms: -63 + -67 = -130
-13x = -130

Divide each side by '-13'.
x = 10

Simplifying
x = 10

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