5(x*4)+12=2(x-3)-1

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Solution for 5(x*4)+12=2(x-3)-1 equation:


Simplifying
5(x * 4) + 12 = 2(x + -3) + -1

Reorder the terms for easier multiplication:
5(4x) + 12 = 2(x + -3) + -1

Remove parenthesis around (4x)
5 * 4x + 12 = 2(x + -3) + -1

Multiply 5 * 4
20x + 12 = 2(x + -3) + -1

Reorder the terms:
12 + 20x = 2(x + -3) + -1

Reorder the terms:
12 + 20x = 2(-3 + x) + -1
12 + 20x = (-3 * 2 + x * 2) + -1
12 + 20x = (-6 + 2x) + -1

Reorder the terms:
12 + 20x = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
12 + 20x = -7 + 2x

Solving
12 + 20x = -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.
12 + 20x + -2x = -7 + 2x + -2x

Combine like terms: 20x + -2x = 18x
12 + 18x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 18x = -7 + 0
12 + 18x = -7

Add '-12' to each side of the equation.
12 + -12 + 18x = -7 + -12

Combine like terms: 12 + -12 = 0
0 + 18x = -7 + -12
18x = -7 + -12

Combine like terms: -7 + -12 = -19
18x = -19

Divide each side by '18'.
x = -1.055555556

Simplifying
x = -1.055555556

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