4(x+1)=3(2+x)+5

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Solution for 4(x+1)=3(2+x)+5 equation:


Simplifying
4(x + 1) = 3(2 + x) + 5

Reorder the terms:
4(1 + x) = 3(2 + x) + 5
(1 * 4 + x * 4) = 3(2 + x) + 5
(4 + 4x) = 3(2 + x) + 5
4 + 4x = (2 * 3 + x * 3) + 5
4 + 4x = (6 + 3x) + 5

Reorder the terms:
4 + 4x = 6 + 5 + 3x

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

Solving
4 + 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.
4 + 4x + -3x = 11 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + 1x = 11 + 0
4 + 1x = 11

Add '-4' to each side of the equation.
4 + -4 + 1x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 11 + -4
1x = 11 + -4

Combine like terms: 11 + -4 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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