6x+4=7(x+1)-2x

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Solution for 6x+4=7(x+1)-2x equation:


Simplifying
6x + 4 = 7(x + 1) + -2x

Reorder the terms:
4 + 6x = 7(x + 1) + -2x

Reorder the terms:
4 + 6x = 7(1 + x) + -2x
4 + 6x = (1 * 7 + x * 7) + -2x
4 + 6x = (7 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
4 + 6x = 7 + 5x

Solving
4 + 6x = 7 + 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.
4 + 6x + -5x = 7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = 7 + 0
4 + 1x = 7

Add '-4' to each side of the equation.
4 + -4 + 1x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 7 + -4
1x = 7 + -4

Combine like terms: 7 + -4 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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