3(x-10)-7=26x-221

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Solution for 3(x-10)-7=26x-221 equation:


Simplifying
3(x + -10) + -7 = 26x + -221

Reorder the terms:
3(-10 + x) + -7 = 26x + -221
(-10 * 3 + x * 3) + -7 = 26x + -221
(-30 + 3x) + -7 = 26x + -221

Reorder the terms:
-30 + -7 + 3x = 26x + -221

Combine like terms: -30 + -7 = -37
-37 + 3x = 26x + -221

Reorder the terms:
-37 + 3x = -221 + 26x

Solving
-37 + 3x = -221 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-37 + 3x + -26x = -221 + 26x + -26x

Combine like terms: 3x + -26x = -23x
-37 + -23x = -221 + 26x + -26x

Combine like terms: 26x + -26x = 0
-37 + -23x = -221 + 0
-37 + -23x = -221

Add '37' to each side of the equation.
-37 + 37 + -23x = -221 + 37

Combine like terms: -37 + 37 = 0
0 + -23x = -221 + 37
-23x = -221 + 37

Combine like terms: -221 + 37 = -184
-23x = -184

Divide each side by '-23'.
x = 8

Simplifying
x = 8

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