30-3(3-7x)+5(x+1)=40-2(7-3x)

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Solution for 30-3(3-7x)+5(x+1)=40-2(7-3x) equation:


Simplifying
30 + -3(3 + -7x) + 5(x + 1) = 40 + -2(7 + -3x)
30 + (3 * -3 + -7x * -3) + 5(x + 1) = 40 + -2(7 + -3x)
30 + (-9 + 21x) + 5(x + 1) = 40 + -2(7 + -3x)

Reorder the terms:
30 + -9 + 21x + 5(1 + x) = 40 + -2(7 + -3x)
30 + -9 + 21x + (1 * 5 + x * 5) = 40 + -2(7 + -3x)
30 + -9 + 21x + (5 + 5x) = 40 + -2(7 + -3x)

Reorder the terms:
30 + -9 + 5 + 21x + 5x = 40 + -2(7 + -3x)

Combine like terms: 30 + -9 = 21
21 + 5 + 21x + 5x = 40 + -2(7 + -3x)

Combine like terms: 21 + 5 = 26
26 + 21x + 5x = 40 + -2(7 + -3x)

Combine like terms: 21x + 5x = 26x
26 + 26x = 40 + -2(7 + -3x)
26 + 26x = 40 + (7 * -2 + -3x * -2)
26 + 26x = 40 + (-14 + 6x)

Combine like terms: 40 + -14 = 26
26 + 26x = 26 + 6x

Add '-26' to each side of the equation.
26 + -26 + 26x = 26 + -26 + 6x

Combine like terms: 26 + -26 = 0
0 + 26x = 26 + -26 + 6x
26x = 26 + -26 + 6x

Combine like terms: 26 + -26 = 0
26x = 0 + 6x
26x = 6x

Solving
26x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
26x + -6x = 6x + -6x

Combine like terms: 26x + -6x = 20x
20x = 6x + -6x

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

Divide each side by '20'.
x = 0.0

Simplifying
x = 0.0

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