4+4(x+7)=3(2x+3)+13

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Solution for 4+4(x+7)=3(2x+3)+13 equation: 


Simplifying
4 + 4(x + 7) = 3(2x + 3) + 13

Reorder the terms:
4 + 4(7 + x) = 3(2x + 3) + 13
4 + (7 * 4 + x * 4) = 3(2x + 3) + 13
4 + (28 + 4x) = 3(2x + 3) + 13

Combine like terms: 4 + 28 = 32
32 + 4x = 3(2x + 3) + 13

Reorder the terms:
32 + 4x = 3(3 + 2x) + 13
32 + 4x = (3 * 3 + 2x * 3) + 13
32 + 4x = (9 + 6x) + 13

Reorder the terms:
32 + 4x = 9 + 13 + 6x

Combine like terms: 9 + 13 = 22
32 + 4x = 22 + 6x

Solving
32 + 4x = 22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + 4x + -6x = 22 + 6x + -6x

Combine like terms: 4x + -6x = -2x
32 + -2x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -2x = 22 + 0
32 + -2x = 22

Add '-32' to each side of the equation.
32 + -32 + -2x = 22 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 22 + -32
-2x = 22 + -32

Combine like terms: 22 + -32 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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