3(7x-7)+5(x+7)=5(x+7)-(x+5)

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Solution for 3(7x-7)+5(x+7)=5(x+7)-(x+5) equation:


Simplifying
3(7x + -7) + 5(x + 7) = 5(x + 7) + -1(x + 5)

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

Reorder the terms:
-21 + 21x + 5(7 + x) = 5(x + 7) + -1(x + 5)
-21 + 21x + (7 * 5 + x * 5) = 5(x + 7) + -1(x + 5)
-21 + 21x + (35 + 5x) = 5(x + 7) + -1(x + 5)

Reorder the terms:
-21 + 35 + 21x + 5x = 5(x + 7) + -1(x + 5)

Combine like terms: -21 + 35 = 14
14 + 21x + 5x = 5(x + 7) + -1(x + 5)

Combine like terms: 21x + 5x = 26x
14 + 26x = 5(x + 7) + -1(x + 5)

Reorder the terms:
14 + 26x = 5(7 + x) + -1(x + 5)
14 + 26x = (7 * 5 + x * 5) + -1(x + 5)
14 + 26x = (35 + 5x) + -1(x + 5)

Reorder the terms:
14 + 26x = 35 + 5x + -1(5 + x)
14 + 26x = 35 + 5x + (5 * -1 + x * -1)
14 + 26x = 35 + 5x + (-5 + -1x)

Reorder the terms:
14 + 26x = 35 + -5 + 5x + -1x

Combine like terms: 35 + -5 = 30
14 + 26x = 30 + 5x + -1x

Combine like terms: 5x + -1x = 4x
14 + 26x = 30 + 4x

Solving
14 + 26x = 30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 26x + -4x = 30 + 4x + -4x

Combine like terms: 26x + -4x = 22x
14 + 22x = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 22x = 30 + 0
14 + 22x = 30

Add '-14' to each side of the equation.
14 + -14 + 22x = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 22x = 30 + -14
22x = 30 + -14

Combine like terms: 30 + -14 = 16
22x = 16

Divide each side by '22'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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