3.0+6.0+2(x-3.0)=3.0x-67.0+6.0x

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Solution for 3.0+6.0+2(x-3.0)=3.0x-67.0+6.0x equation:


Simplifying
3.0 + 6.0 + 2(x + -3.0) = 3.0x + -67.0 + 6.0x

Reorder the terms:
3.0 + 6.0 + 2(-3.0 + x) = 3.0x + -67.0 + 6.0x
3.0 + 6.0 + (-3.0 * 2 + x * 2) = 3.0x + -67.0 + 6.0x
3.0 + 6.0 + (-6 + 2x) = 3.0x + -67.0 + 6.0x

Combine like terms: 3.0 + 6.0 = 9
9 + -6 + 2x = 3.0x + -67.0 + 6.0x

Combine like terms: 9 + -6 = 3
3 + 2x = 3.0x + -67.0 + 6.0x

Reorder the terms:
3 + 2x = -67.0 + 3.0x + 6.0x

Combine like terms: 3.0x + 6.0x = 9x
3 + 2x = -67.0 + 9x

Solving
3 + 2x = -67.0 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 2x + -9x = -67.0 + 9x + -9x

Combine like terms: 2x + -9x = -7x
3 + -7x = -67.0 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -7x = -67.0 + 0
3 + -7x = -67.0

Add '-3' to each side of the equation.
3 + -3 + -7x = -67.0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -67.0 + -3
-7x = -67.0 + -3

Combine like terms: -67.0 + -3 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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