4(x+4)+11=3(x+5)+10

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Solution for 4(x+4)+11=3(x+5)+10 equation:


Simplifying
4(x + 4) + 11 = 3(x + 5) + 10

Reorder the terms:
4(4 + x) + 11 = 3(x + 5) + 10
(4 * 4 + x * 4) + 11 = 3(x + 5) + 10
(16 + 4x) + 11 = 3(x + 5) + 10

Reorder the terms:
16 + 11 + 4x = 3(x + 5) + 10

Combine like terms: 16 + 11 = 27
27 + 4x = 3(x + 5) + 10

Reorder the terms:
27 + 4x = 3(5 + x) + 10
27 + 4x = (5 * 3 + x * 3) + 10
27 + 4x = (15 + 3x) + 10

Reorder the terms:
27 + 4x = 15 + 10 + 3x

Combine like terms: 15 + 10 = 25
27 + 4x = 25 + 3x

Solving
27 + 4x = 25 + 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.
27 + 4x + -3x = 25 + 3x + -3x

Combine like terms: 4x + -3x = 1x
27 + 1x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + 1x = 25 + 0
27 + 1x = 25

Add '-27' to each side of the equation.
27 + -27 + 1x = 25 + -27

Combine like terms: 27 + -27 = 0
0 + 1x = 25 + -27
1x = 25 + -27

Combine like terms: 25 + -27 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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