6(x-3)=7x-2(x+1)

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Solution for 6(x-3)=7x-2(x+1) equation:


Simplifying
6(x + -3) = 7x + -2(x + 1)

Reorder the terms:
6(-3 + x) = 7x + -2(x + 1)
(-3 * 6 + x * 6) = 7x + -2(x + 1)
(-18 + 6x) = 7x + -2(x + 1)

Reorder the terms:
-18 + 6x = 7x + -2(1 + x)
-18 + 6x = 7x + (1 * -2 + x * -2)
-18 + 6x = 7x + (-2 + -2x)

Reorder the terms:
-18 + 6x = -2 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-18 + 6x = -2 + 5x

Solving
-18 + 6x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 6x + -5x = -2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = -2 + 0
-18 + 1x = -2

Add '18' to each side of the equation.
-18 + 18 + 1x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -2 + 18
1x = -2 + 18

Combine like terms: -2 + 18 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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