4(x-16)=3(2x+15)

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Solution for 4(x-16)=3(2x+15) equation: 


Simplifying
4(x + -16) = 3(2x + 15)

Reorder the terms:
4(-16 + x) = 3(2x + 15)
(-16 * 4 + x * 4) = 3(2x + 15)
(-64 + 4x) = 3(2x + 15)

Reorder the terms:
-64 + 4x = 3(15 + 2x)
-64 + 4x = (15 * 3 + 2x * 3)
-64 + 4x = (45 + 6x)

Solving
-64 + 4x = 45 + 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.
-64 + 4x + -6x = 45 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-64 + -2x = 45 + 6x + -6x

Combine like terms: 6x + -6x = 0
-64 + -2x = 45 + 0
-64 + -2x = 45

Add '64' to each side of the equation.
-64 + 64 + -2x = 45 + 64

Combine like terms: -64 + 64 = 0
0 + -2x = 45 + 64
-2x = 45 + 64

Combine like terms: 45 + 64 = 109
-2x = 109

Divide each side by '-2'.
x = -54.5

Simplifying
x = -54.5

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