4(x+3)+3(x+7)=61

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Solution for 4(x+3)+3(x+7)=61 equation: 


Simplifying
4(x + 3) + 3(x + 7) = 61

Reorder the terms:
4(3 + x) + 3(x + 7) = 61
(3 * 4 + x * 4) + 3(x + 7) = 61
(12 + 4x) + 3(x + 7) = 61

Reorder the terms:
12 + 4x + 3(7 + x) = 61
12 + 4x + (7 * 3 + x * 3) = 61
12 + 4x + (21 + 3x) = 61

Reorder the terms:
12 + 21 + 4x + 3x = 61

Combine like terms: 12 + 21 = 33
33 + 4x + 3x = 61

Combine like terms: 4x + 3x = 7x
33 + 7x = 61

Solving
33 + 7x = 61

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 7x = 61 + -33

Combine like terms: 33 + -33 = 0
0 + 7x = 61 + -33
7x = 61 + -33

Combine like terms: 61 + -33 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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