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

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


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

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

Combine like terms: 2 + 12 = 14
14 + 3x = 4(x + 4) + -3

Reorder the terms:
14 + 3x = 4(4 + x) + -3
14 + 3x = (4 * 4 + x * 4) + -3
14 + 3x = (16 + 4x) + -3

Reorder the terms:
14 + 3x = 16 + -3 + 4x

Combine like terms: 16 + -3 = 13
14 + 3x = 13 + 4x

Solving
14 + 3x = 13 + 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.
14 + 3x + -4x = 13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
14 + -1x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -1x = 13 + 0
14 + -1x = 13

Add '-14' to each side of the equation.
14 + -14 + -1x = 13 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 13 + -14
-1x = 13 + -14

Combine like terms: 13 + -14 = -1
-1x = -1

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

Simplifying
x = 1

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