4(x+3)-3=5(x+1)+11

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Solution for 4(x+3)-3=5(x+1)+11 equation:


Simplifying
4(x + 3) + -3 = 5(x + 1) + 11

Reorder the terms:
4(3 + x) + -3 = 5(x + 1) + 11
(3 * 4 + x * 4) + -3 = 5(x + 1) + 11
(12 + 4x) + -3 = 5(x + 1) + 11

Reorder the terms:
12 + -3 + 4x = 5(x + 1) + 11

Combine like terms: 12 + -3 = 9
9 + 4x = 5(x + 1) + 11

Reorder the terms:
9 + 4x = 5(1 + x) + 11
9 + 4x = (1 * 5 + x * 5) + 11
9 + 4x = (5 + 5x) + 11

Reorder the terms:
9 + 4x = 5 + 11 + 5x

Combine like terms: 5 + 11 = 16
9 + 4x = 16 + 5x

Solving
9 + 4x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 4x + -5x = 16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
9 + -1x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -1x = 16 + 0
9 + -1x = 16

Add '-9' to each side of the equation.
9 + -9 + -1x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 16 + -9
-1x = 16 + -9

Combine like terms: 16 + -9 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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