6x-18=3(x-7)+4x

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Solution for 6x-18=3(x-7)+4x equation:


Simplifying
6x + -18 = 3(x + -7) + 4x

Reorder the terms:
-18 + 6x = 3(x + -7) + 4x

Reorder the terms:
-18 + 6x = 3(-7 + x) + 4x
-18 + 6x = (-7 * 3 + x * 3) + 4x
-18 + 6x = (-21 + 3x) + 4x

Combine like terms: 3x + 4x = 7x
-18 + 6x = -21 + 7x

Solving
-18 + 6x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 6x + -7x = -21 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-18 + -1x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + -1x = -21 + 0
-18 + -1x = -21

Add '18' to each side of the equation.
-18 + 18 + -1x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -21 + 18
-1x = -21 + 18

Combine like terms: -21 + 18 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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