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

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


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

Reorder the terms:
2x + 3(3 + x) = 4(x + 2)
2x + (3 * 3 + x * 3) = 4(x + 2)
2x + (9 + 3x) = 4(x + 2)

Reorder the terms:
9 + 2x + 3x = 4(x + 2)

Combine like terms: 2x + 3x = 5x
9 + 5x = 4(x + 2)

Reorder the terms:
9 + 5x = 4(2 + x)
9 + 5x = (2 * 4 + x * 4)
9 + 5x = (8 + 4x)

Solving
9 + 5x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
9 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 1x = 8 + 0
9 + 1x = 8

Add '-9' to each side of the equation.
9 + -9 + 1x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 8 + -9
1x = 8 + -9

Combine like terms: 8 + -9 = -1
1x = -1

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

Simplifying
x = -1

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