7x+4-8x-7(-5x)=2x+7(-9x)-9x+6

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Solution for 7x+4-8x-7(-5x)=2x+7(-9x)-9x+6 equation:


Simplifying
7x + 4 + -8x + -7(-5x) = 2x + 7(-9x) + -9x + 6

Remove parenthesis around (-5x)
7x + 4 + -8x + -7 * -5x = 2x + 7(-9x) + -9x + 6

Multiply -7 * -5
7x + 4 + -8x + 35x = 2x + 7(-9x) + -9x + 6

Reorder the terms:
4 + 7x + -8x + 35x = 2x + 7(-9x) + -9x + 6

Combine like terms: 7x + -8x = -1x
4 + -1x + 35x = 2x + 7(-9x) + -9x + 6

Combine like terms: -1x + 35x = 34x
4 + 34x = 2x + 7(-9x) + -9x + 6

Remove parenthesis around (-9x)
4 + 34x = 2x + 7 * -9x + -9x + 6

Multiply 7 * -9
4 + 34x = 2x + -63x + -9x + 6

Reorder the terms:
4 + 34x = 6 + 2x + -63x + -9x

Combine like terms: 2x + -63x = -61x
4 + 34x = 6 + -61x + -9x

Combine like terms: -61x + -9x = -70x
4 + 34x = 6 + -70x

Solving
4 + 34x = 6 + -70x

Solving for variable 'x'.

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

Add '70x' to each side of the equation.
4 + 34x + 70x = 6 + -70x + 70x

Combine like terms: 34x + 70x = 104x
4 + 104x = 6 + -70x + 70x

Combine like terms: -70x + 70x = 0
4 + 104x = 6 + 0
4 + 104x = 6

Add '-4' to each side of the equation.
4 + -4 + 104x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 104x = 6 + -4
104x = 6 + -4

Combine like terms: 6 + -4 = 2
104x = 2

Divide each side by '104'.
x = 0.01923076923

Simplifying
x = 0.01923076923

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