(2x+3)-3(x-2)=4(x+1)

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Solution for (2x+3)-3(x-2)=4(x+1) equation:


Simplifying
(2x + 3) + -3(x + -2) = 4(x + 1)

Reorder the terms:
(3 + 2x) + -3(x + -2) = 4(x + 1)

Remove parenthesis around (3 + 2x)
3 + 2x + -3(x + -2) = 4(x + 1)

Reorder the terms:
3 + 2x + -3(-2 + x) = 4(x + 1)
3 + 2x + (-2 * -3 + x * -3) = 4(x + 1)
3 + 2x + (6 + -3x) = 4(x + 1)

Reorder the terms:
3 + 6 + 2x + -3x = 4(x + 1)

Combine like terms: 3 + 6 = 9
9 + 2x + -3x = 4(x + 1)

Combine like terms: 2x + -3x = -1x
9 + -1x = 4(x + 1)

Reorder the terms:
9 + -1x = 4(1 + x)
9 + -1x = (1 * 4 + x * 4)
9 + -1x = (4 + 4x)

Solving
9 + -1x = 4 + 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 + -1x + -4x = 4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
9 + -5x = 4 + 0
9 + -5x = 4

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

Combine like terms: 9 + -9 = 0
0 + -5x = 4 + -9
-5x = 4 + -9

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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