16(x+2)=142-(4x-11)*6

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Solution for 16(x+2)=142-(4x-11)*6 equation:


Simplifying
16(x + 2) = 142 + -1(4x + -11) * 6

Reorder the terms:
16(2 + x) = 142 + -1(4x + -11) * 6
(2 * 16 + x * 16) = 142 + -1(4x + -11) * 6
(32 + 16x) = 142 + -1(4x + -11) * 6

Reorder the terms:
32 + 16x = 142 + -1(-11 + 4x) * 6

Reorder the terms for easier multiplication:
32 + 16x = 142 + -1 * 6(-11 + 4x)

Multiply -1 * 6
32 + 16x = 142 + -6(-11 + 4x)
32 + 16x = 142 + (-11 * -6 + 4x * -6)
32 + 16x = 142 + (66 + -24x)

Combine like terms: 142 + 66 = 208
32 + 16x = 208 + -24x

Solving
32 + 16x = 208 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
32 + 16x + 24x = 208 + -24x + 24x

Combine like terms: 16x + 24x = 40x
32 + 40x = 208 + -24x + 24x

Combine like terms: -24x + 24x = 0
32 + 40x = 208 + 0
32 + 40x = 208

Add '-32' to each side of the equation.
32 + -32 + 40x = 208 + -32

Combine like terms: 32 + -32 = 0
0 + 40x = 208 + -32
40x = 208 + -32

Combine like terms: 208 + -32 = 176
40x = 176

Divide each side by '40'.
x = 4.4

Simplifying
x = 4.4

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