-7+2(4-3x)-4(x-5)-1=0

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Solution for -7+2(4-3x)-4(x-5)-1=0 equation: 


Simplifying
-7 + 2(4 + -3x) + -4(x + -5) + -1 = 0
-7 + (4 * 2 + -3x * 2) + -4(x + -5) + -1 = 0
-7 + (8 + -6x) + -4(x + -5) + -1 = 0

Reorder the terms:
-7 + 8 + -6x + -4(-5 + x) + -1 = 0
-7 + 8 + -6x + (-5 * -4 + x * -4) + -1 = 0
-7 + 8 + -6x + (20 + -4x) + -1 = 0

Reorder the terms:
-7 + 8 + 20 + -1 + -6x + -4x = 0

Combine like terms: -7 + 8 = 1
1 + 20 + -1 + -6x + -4x = 0

Combine like terms: 1 + 20 = 21
21 + -1 + -6x + -4x = 0

Combine like terms: 21 + -1 = 20
20 + -6x + -4x = 0

Combine like terms: -6x + -4x = -10x
20 + -10x = 0

Solving
20 + -10x = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -10x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = 0 + -20
-10x = 0 + -20

Combine like terms: 0 + -20 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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