185=6x+5(-7x+8)

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Solution for 185=6x+5(-7x+8) equation:


Simplifying
185 = 6x + 5(-7x + 8)

Reorder the terms:
185 = 6x + 5(8 + -7x)
185 = 6x + (8 * 5 + -7x * 5)
185 = 6x + (40 + -35x)

Reorder the terms:
185 = 40 + 6x + -35x

Combine like terms: 6x + -35x = -29x
185 = 40 + -29x

Solving
185 = 40 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
185 + 29x = 40 + -29x + 29x

Combine like terms: -29x + 29x = 0
185 + 29x = 40 + 0
185 + 29x = 40

Add '-185' to each side of the equation.
185 + -185 + 29x = 40 + -185

Combine like terms: 185 + -185 = 0
0 + 29x = 40 + -185
29x = 40 + -185

Combine like terms: 40 + -185 = -145
29x = -145

Divide each side by '29'.
x = -5

Simplifying
x = -5

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