3(7x-5)+4(16-3x)-2(4x+2)=-1

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Solution for 3(7x-5)+4(16-3x)-2(4x+2)=-1 equation:


Simplifying
3(7x + -5) + 4(16 + -3x) + -2(4x + 2) = -1

Reorder the terms:
3(-5 + 7x) + 4(16 + -3x) + -2(4x + 2) = -1
(-5 * 3 + 7x * 3) + 4(16 + -3x) + -2(4x + 2) = -1
(-15 + 21x) + 4(16 + -3x) + -2(4x + 2) = -1
-15 + 21x + (16 * 4 + -3x * 4) + -2(4x + 2) = -1
-15 + 21x + (64 + -12x) + -2(4x + 2) = -1

Reorder the terms:
-15 + 21x + 64 + -12x + -2(2 + 4x) = -1
-15 + 21x + 64 + -12x + (2 * -2 + 4x * -2) = -1
-15 + 21x + 64 + -12x + (-4 + -8x) = -1

Reorder the terms:
-15 + 64 + -4 + 21x + -12x + -8x = -1

Combine like terms: -15 + 64 = 49
49 + -4 + 21x + -12x + -8x = -1

Combine like terms: 49 + -4 = 45
45 + 21x + -12x + -8x = -1

Combine like terms: 21x + -12x = 9x
45 + 9x + -8x = -1

Combine like terms: 9x + -8x = 1x
45 + 1x = -1

Solving
45 + 1x = -1

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 1x = -1 + -45

Combine like terms: 45 + -45 = 0
0 + 1x = -1 + -45
1x = -1 + -45

Combine like terms: -1 + -45 = -46
1x = -46

Divide each side by '1'.
x = -46

Simplifying
x = -46

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