4x-(3x-1)-3(x+7)=40

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Solution for 4x-(3x-1)-3(x+7)=40 equation:


Simplifying
4x + -1(3x + -1) + -3(x + 7) = 40

Reorder the terms:
4x + -1(-1 + 3x) + -3(x + 7) = 40
4x + (-1 * -1 + 3x * -1) + -3(x + 7) = 40
4x + (1 + -3x) + -3(x + 7) = 40

Reorder the terms:
4x + 1 + -3x + -3(7 + x) = 40
4x + 1 + -3x + (7 * -3 + x * -3) = 40
4x + 1 + -3x + (-21 + -3x) = 40

Reorder the terms:
1 + -21 + 4x + -3x + -3x = 40

Combine like terms: 1 + -21 = -20
-20 + 4x + -3x + -3x = 40

Combine like terms: 4x + -3x = 1x
-20 + 1x + -3x = 40

Combine like terms: 1x + -3x = -2x
-20 + -2x = 40

Solving
-20 + -2x = 40

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 + -2x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 40 + 20
-2x = 40 + 20

Combine like terms: 40 + 20 = 60
-2x = 60

Divide each side by '-2'.
x = -30

Simplifying
x = -30

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