7x-2(2-3x)=3(x-4)-42

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Solution for 7x-2(2-3x)=3(x-4)-42 equation:


Simplifying
7x + -2(2 + -3x) = 3(x + -4) + -42
7x + (2 * -2 + -3x * -2) = 3(x + -4) + -42
7x + (-4 + 6x) = 3(x + -4) + -42

Reorder the terms:
-4 + 7x + 6x = 3(x + -4) + -42

Combine like terms: 7x + 6x = 13x
-4 + 13x = 3(x + -4) + -42

Reorder the terms:
-4 + 13x = 3(-4 + x) + -42
-4 + 13x = (-4 * 3 + x * 3) + -42
-4 + 13x = (-12 + 3x) + -42

Reorder the terms:
-4 + 13x = -12 + -42 + 3x

Combine like terms: -12 + -42 = -54
-4 + 13x = -54 + 3x

Solving
-4 + 13x = -54 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 13x + -3x = -54 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-4 + 10x = -54 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 10x = -54 + 0
-4 + 10x = -54

Add '4' to each side of the equation.
-4 + 4 + 10x = -54 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = -54 + 4
10x = -54 + 4

Combine like terms: -54 + 4 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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