7x-4=3x+2(x+3)

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Solution for 7x-4=3x+2(x+3) equation:


Simplifying
7x + -4 = 3x + 2(x + 3)

Reorder the terms:
-4 + 7x = 3x + 2(x + 3)

Reorder the terms:
-4 + 7x = 3x + 2(3 + x)
-4 + 7x = 3x + (3 * 2 + x * 2)
-4 + 7x = 3x + (6 + 2x)

Reorder the terms:
-4 + 7x = 6 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 7x = 6 + 5x

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

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

Combine like terms: 5x + -5x = 0
-4 + 2x = 6 + 0
-4 + 2x = 6

Add '4' to each side of the equation.
-4 + 4 + 2x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 6 + 4
2x = 6 + 4

Combine like terms: 6 + 4 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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