16-5(3x-4)=8(-2x+11)

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Solution for 16-5(3x-4)=8(-2x+11) equation:


Simplifying
16 + -5(3x + -4) = 8(-2x + 11)

Reorder the terms:
16 + -5(-4 + 3x) = 8(-2x + 11)
16 + (-4 * -5 + 3x * -5) = 8(-2x + 11)
16 + (20 + -15x) = 8(-2x + 11)

Combine like terms: 16 + 20 = 36
36 + -15x = 8(-2x + 11)

Reorder the terms:
36 + -15x = 8(11 + -2x)
36 + -15x = (11 * 8 + -2x * 8)
36 + -15x = (88 + -16x)

Solving
36 + -15x = 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.
36 + -15x + 16x = 88 + -16x + 16x

Combine like terms: -15x + 16x = 1x
36 + 1x = 88 + -16x + 16x

Combine like terms: -16x + 16x = 0
36 + 1x = 88 + 0
36 + 1x = 88

Add '-36' to each side of the equation.
36 + -36 + 1x = 88 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = 88 + -36
1x = 88 + -36

Combine like terms: 88 + -36 = 52
1x = 52

Divide each side by '1'.
x = 52

Simplifying
x = 52

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