12=5(-3x+22)-(x-1)

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Solution for 12=5(-3x+22)-(x-1) equation:


Simplifying
12 = 5(-3x + 22) + -1(x + -1)

Reorder the terms:
12 = 5(22 + -3x) + -1(x + -1)
12 = (22 * 5 + -3x * 5) + -1(x + -1)
12 = (110 + -15x) + -1(x + -1)

Reorder the terms:
12 = 110 + -15x + -1(-1 + x)
12 = 110 + -15x + (-1 * -1 + x * -1)
12 = 110 + -15x + (1 + -1x)

Reorder the terms:
12 = 110 + 1 + -15x + -1x

Combine like terms: 110 + 1 = 111
12 = 111 + -15x + -1x

Combine like terms: -15x + -1x = -16x
12 = 111 + -16x

Solving
12 = 111 + -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.
12 + 16x = 111 + -16x + 16x

Combine like terms: -16x + 16x = 0
12 + 16x = 111 + 0
12 + 16x = 111

Add '-12' to each side of the equation.
12 + -12 + 16x = 111 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 111 + -12
16x = 111 + -12

Combine like terms: 111 + -12 = 99
16x = 99

Divide each side by '16'.
x = 6.1875

Simplifying
x = 6.1875

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