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

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


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

Reorder the terms:
5 + -2(-1 + x) = 4x + -3(x + 5) + -4
5 + (-1 * -2 + x * -2) = 4x + -3(x + 5) + -4
5 + (2 + -2x) = 4x + -3(x + 5) + -4

Combine like terms: 5 + 2 = 7
7 + -2x = 4x + -3(x + 5) + -4

Reorder the terms:
7 + -2x = 4x + -3(5 + x) + -4
7 + -2x = 4x + (5 * -3 + x * -3) + -4
7 + -2x = 4x + (-15 + -3x) + -4

Reorder the terms:
7 + -2x = -15 + -4 + 4x + -3x

Combine like terms: -15 + -4 = -19
7 + -2x = -19 + 4x + -3x

Combine like terms: 4x + -3x = 1x
7 + -2x = -19 + 1x

Solving
7 + -2x = -19 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + -2x + -1x = -19 + 1x + -1x

Combine like terms: -2x + -1x = -3x
7 + -3x = -19 + 1x + -1x

Combine like terms: 1x + -1x = 0
7 + -3x = -19 + 0
7 + -3x = -19

Add '-7' to each side of the equation.
7 + -7 + -3x = -19 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -19 + -7
-3x = -19 + -7

Combine like terms: -19 + -7 = -26
-3x = -26

Divide each side by '-3'.
x = 8.666666667

Simplifying
x = 8.666666667

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