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

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


Simplifying
4(3 + -4x) + -5 = -1 + -2(x + 3)
(3 * 4 + -4x * 4) + -5 = -1 + -2(x + 3)
(12 + -16x) + -5 = -1 + -2(x + 3)

Reorder the terms:
12 + -5 + -16x = -1 + -2(x + 3)

Combine like terms: 12 + -5 = 7
7 + -16x = -1 + -2(x + 3)

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

Combine like terms: -1 + -6 = -7
7 + -16x = -7 + -2x

Solving
7 + -16x = -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.
7 + -16x + 2x = -7 + -2x + 2x

Combine like terms: -16x + 2x = -14x
7 + -14x = -7 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -14x = -7 + 0
7 + -14x = -7

Add '-7' to each side of the equation.
7 + -7 + -14x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -14x = -7 + -7
-14x = -7 + -7

Combine like terms: -7 + -7 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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