6(x-1)+16(2x+3)=(2x-7)

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Solution for 6(x-1)+16(2x+3)=(2x-7) equation:


Simplifying
6(x + -1) + 16(2x + 3) = (2x + -7)

Reorder the terms:
6(-1 + x) + 16(2x + 3) = (2x + -7)
(-1 * 6 + x * 6) + 16(2x + 3) = (2x + -7)
(-6 + 6x) + 16(2x + 3) = (2x + -7)

Reorder the terms:
-6 + 6x + 16(3 + 2x) = (2x + -7)
-6 + 6x + (3 * 16 + 2x * 16) = (2x + -7)
-6 + 6x + (48 + 32x) = (2x + -7)

Reorder the terms:
-6 + 48 + 6x + 32x = (2x + -7)

Combine like terms: -6 + 48 = 42
42 + 6x + 32x = (2x + -7)

Combine like terms: 6x + 32x = 38x
42 + 38x = (2x + -7)

Reorder the terms:
42 + 38x = (-7 + 2x)

Remove parenthesis around (-7 + 2x)
42 + 38x = -7 + 2x

Solving
42 + 38x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
42 + 38x + -2x = -7 + 2x + -2x

Combine like terms: 38x + -2x = 36x
42 + 36x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 36x = -7 + 0
42 + 36x = -7

Add '-42' to each side of the equation.
42 + -42 + 36x = -7 + -42

Combine like terms: 42 + -42 = 0
0 + 36x = -7 + -42
36x = -7 + -42

Combine like terms: -7 + -42 = -49
36x = -49

Divide each side by '36'.
x = -1.361111111

Simplifying
x = -1.361111111

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