3x-5+4x=3(2x+2)-2

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Solution for 3x-5+4x=3(2x+2)-2 equation:


Simplifying
3x + -5 + 4x = 3(2x + 2) + -2

Reorder the terms:
-5 + 3x + 4x = 3(2x + 2) + -2

Combine like terms: 3x + 4x = 7x
-5 + 7x = 3(2x + 2) + -2

Reorder the terms:
-5 + 7x = 3(2 + 2x) + -2
-5 + 7x = (2 * 3 + 2x * 3) + -2
-5 + 7x = (6 + 6x) + -2

Reorder the terms:
-5 + 7x = 6 + -2 + 6x

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

Solving
-5 + 7x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 7x + -6x = 4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-5 + 1x = 4 + 0
-5 + 1x = 4

Add '5' to each side of the equation.
-5 + 5 + 1x = 4 + 5

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

Combine like terms: 4 + 5 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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