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

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


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

Reorder the terms:
4(3 + x) = 5 + 3(x + 2)
(3 * 4 + x * 4) = 5 + 3(x + 2)
(12 + 4x) = 5 + 3(x + 2)

Reorder the terms:
12 + 4x = 5 + 3(2 + x)
12 + 4x = 5 + (2 * 3 + x * 3)
12 + 4x = 5 + (6 + 3x)

Combine like terms: 5 + 6 = 11
12 + 4x = 11 + 3x

Solving
12 + 4x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 4x + -3x = 11 + 3x + -3x

Combine like terms: 4x + -3x = 1x
12 + 1x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 1x = 11 + 0
12 + 1x = 11

Add '-12' to each side of the equation.
12 + -12 + 1x = 11 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 11 + -12
1x = 11 + -12

Combine like terms: 11 + -12 = -1
1x = -1

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

Simplifying
x = -1

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