16-6(3x+-4)=8(-2x+11)

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Solution for 16-6(3x+-4)=8(-2x+11) equation:


Simplifying
16 + -6(3x + -4) = 8(-2x + 11)

Reorder the terms:
16 + -6(-4 + 3x) = 8(-2x + 11)
16 + (-4 * -6 + 3x * -6) = 8(-2x + 11)
16 + (24 + -18x) = 8(-2x + 11)

Combine like terms: 16 + 24 = 40
40 + -18x = 8(-2x + 11)

Reorder the terms:
40 + -18x = 8(11 + -2x)
40 + -18x = (11 * 8 + -2x * 8)
40 + -18x = (88 + -16x)

Solving
40 + -18x = 88 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
40 + -18x + 16x = 88 + -16x + 16x

Combine like terms: -18x + 16x = -2x
40 + -2x = 88 + -16x + 16x

Combine like terms: -16x + 16x = 0
40 + -2x = 88 + 0
40 + -2x = 88

Add '-40' to each side of the equation.
40 + -40 + -2x = 88 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = 88 + -40
-2x = 88 + -40

Combine like terms: 88 + -40 = 48
-2x = 48

Divide each side by '-2'.
x = -24

Simplifying
x = -24

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