3(x-10)-2=18x-197

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Solution for 3(x-10)-2=18x-197 equation:


Simplifying
3(x + -10) + -2 = 18x + -197

Reorder the terms:
3(-10 + x) + -2 = 18x + -197
(-10 * 3 + x * 3) + -2 = 18x + -197
(-30 + 3x) + -2 = 18x + -197

Reorder the terms:
-30 + -2 + 3x = 18x + -197

Combine like terms: -30 + -2 = -32
-32 + 3x = 18x + -197

Reorder the terms:
-32 + 3x = -197 + 18x

Solving
-32 + 3x = -197 + 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.
-32 + 3x + -18x = -197 + 18x + -18x

Combine like terms: 3x + -18x = -15x
-32 + -15x = -197 + 18x + -18x

Combine like terms: 18x + -18x = 0
-32 + -15x = -197 + 0
-32 + -15x = -197

Add '32' to each side of the equation.
-32 + 32 + -15x = -197 + 32

Combine like terms: -32 + 32 = 0
0 + -15x = -197 + 32
-15x = -197 + 32

Combine like terms: -197 + 32 = -165
-15x = -165

Divide each side by '-15'.
x = 11

Simplifying
x = 11

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