9[6-7(x-1)]+6[(2x+7)-9]=18x-341

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Solution for 9[6-7(x-1)]+6[(2x+7)-9]=18x-341 equation:


Simplifying
9[6 + -7(x + -1)] + 6[(2x + 7) + -9] = 18x + -341

Reorder the terms:
9[6 + -7(-1 + x)] + 6[(2x + 7) + -9] = 18x + -341
9[6 + (-1 * -7 + x * -7)] + 6[(2x + 7) + -9] = 18x + -341
9[6 + (7 + -7x)] + 6[(2x + 7) + -9] = 18x + -341

Combine like terms: 6 + 7 = 13
9[13 + -7x] + 6[(2x + 7) + -9] = 18x + -341
[13 * 9 + -7x * 9] + 6[(2x + 7) + -9] = 18x + -341
[117 + -63x] + 6[(2x + 7) + -9] = 18x + -341

Reorder the terms:
117 + -63x + 6[(7 + 2x) + -9] = 18x + -341

Remove parenthesis around (7 + 2x)
117 + -63x + 6[7 + 2x + -9] = 18x + -341

Reorder the terms:
117 + -63x + 6[7 + -9 + 2x] = 18x + -341

Combine like terms: 7 + -9 = -2
117 + -63x + 6[-2 + 2x] = 18x + -341
117 + -63x + [-2 * 6 + 2x * 6] = 18x + -341
117 + -63x + [-12 + 12x] = 18x + -341

Reorder the terms:
117 + -12 + -63x + 12x = 18x + -341

Combine like terms: 117 + -12 = 105
105 + -63x + 12x = 18x + -341

Combine like terms: -63x + 12x = -51x
105 + -51x = 18x + -341

Reorder the terms:
105 + -51x = -341 + 18x

Solving
105 + -51x = -341 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
105 + -51x + -18x = -341 + 18x + -18x

Combine like terms: -51x + -18x = -69x
105 + -69x = -341 + 18x + -18x

Combine like terms: 18x + -18x = 0
105 + -69x = -341 + 0
105 + -69x = -341

Add '-105' to each side of the equation.
105 + -105 + -69x = -341 + -105

Combine like terms: 105 + -105 = 0
0 + -69x = -341 + -105
-69x = -341 + -105

Combine like terms: -341 + -105 = -446
-69x = -446

Divide each side by '-69'.
x = 6.463768116

Simplifying
x = 6.463768116

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