16(4x+11)=-39(x-3)

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Solution for 16(4x+11)=-39(x-3) equation:


Simplifying
16(4x + 11) = -39(x + -3)

Reorder the terms:
16(11 + 4x) = -39(x + -3)
(11 * 16 + 4x * 16) = -39(x + -3)
(176 + 64x) = -39(x + -3)

Reorder the terms:
176 + 64x = -39(-3 + x)
176 + 64x = (-3 * -39 + x * -39)
176 + 64x = (117 + -39x)

Solving
176 + 64x = 117 + -39x

Solving for variable 'x'.

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

Add '39x' to each side of the equation.
176 + 64x + 39x = 117 + -39x + 39x

Combine like terms: 64x + 39x = 103x
176 + 103x = 117 + -39x + 39x

Combine like terms: -39x + 39x = 0
176 + 103x = 117 + 0
176 + 103x = 117

Add '-176' to each side of the equation.
176 + -176 + 103x = 117 + -176

Combine like terms: 176 + -176 = 0
0 + 103x = 117 + -176
103x = 117 + -176

Combine like terms: 117 + -176 = -59
103x = -59

Divide each side by '103'.
x = -0.572815534

Simplifying
x = -0.572815534

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