4(x+4)=15(x-7)

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Solution for 4(x+4)=15(x-7) equation: 


Simplifying
4(x + 4) = 15(x + -7)

Reorder the terms:
4(4 + x) = 15(x + -7)
(4 * 4 + x * 4) = 15(x + -7)
(16 + 4x) = 15(x + -7)

Reorder the terms:
16 + 4x = 15(-7 + x)
16 + 4x = (-7 * 15 + x * 15)
16 + 4x = (-105 + 15x)

Solving
16 + 4x = -105 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
16 + 4x + -15x = -105 + 15x + -15x

Combine like terms: 4x + -15x = -11x
16 + -11x = -105 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + -11x = -105 + 0
16 + -11x = -105

Add '-16' to each side of the equation.
16 + -16 + -11x = -105 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -105 + -16
-11x = -105 + -16

Combine like terms: -105 + -16 = -121
-11x = -121

Divide each side by '-11'.
x = 11

Simplifying
x = 11

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