4(2x+3)-3x=47-3(x+1)

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Solution for 4(2x+3)-3x=47-3(x+1) equation:


Simplifying
4(2x + 3) + -3x = 47 + -3(x + 1)

Reorder the terms:
4(3 + 2x) + -3x = 47 + -3(x + 1)
(3 * 4 + 2x * 4) + -3x = 47 + -3(x + 1)
(12 + 8x) + -3x = 47 + -3(x + 1)

Combine like terms: 8x + -3x = 5x
12 + 5x = 47 + -3(x + 1)

Reorder the terms:
12 + 5x = 47 + -3(1 + x)
12 + 5x = 47 + (1 * -3 + x * -3)
12 + 5x = 47 + (-3 + -3x)

Combine like terms: 47 + -3 = 44
12 + 5x = 44 + -3x

Solving
12 + 5x = 44 + -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 + 5x + 3x = 44 + -3x + 3x

Combine like terms: 5x + 3x = 8x
12 + 8x = 44 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 8x = 44 + 0
12 + 8x = 44

Add '-12' to each side of the equation.
12 + -12 + 8x = 44 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 44 + -12
8x = 44 + -12

Combine like terms: 44 + -12 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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