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

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


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

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

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

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

Solving
3 + 3x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 3x + 2x = 7 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
3 + 5x = 7 + 0
3 + 5x = 7

Add '-3' to each side of the equation.
3 + -3 + 5x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 7 + -3
5x = 7 + -3

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

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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