7(x+4)-4(x+3)=52

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Solution for 7(x+4)-4(x+3)=52 equation: 


Simplifying
7(x + 4) + -4(x + 3) = 52

Reorder the terms:
7(4 + x) + -4(x + 3) = 52
(4 * 7 + x * 7) + -4(x + 3) = 52
(28 + 7x) + -4(x + 3) = 52

Reorder the terms:
28 + 7x + -4(3 + x) = 52
28 + 7x + (3 * -4 + x * -4) = 52
28 + 7x + (-12 + -4x) = 52

Reorder the terms:
28 + -12 + 7x + -4x = 52

Combine like terms: 28 + -12 = 16
16 + 7x + -4x = 52

Combine like terms: 7x + -4x = 3x
16 + 3x = 52

Solving
16 + 3x = 52

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 52 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 52 + -16
3x = 52 + -16

Combine like terms: 52 + -16 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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