10(x-10)-3=30x-183

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Solution for 10(x-10)-3=30x-183 equation:


Simplifying
10(x + -10) + -3 = 30x + -183

Reorder the terms:
10(-10 + x) + -3 = 30x + -183
(-10 * 10 + x * 10) + -3 = 30x + -183
(-100 + 10x) + -3 = 30x + -183

Reorder the terms:
-100 + -3 + 10x = 30x + -183

Combine like terms: -100 + -3 = -103
-103 + 10x = 30x + -183

Reorder the terms:
-103 + 10x = -183 + 30x

Solving
-103 + 10x = -183 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-103 + 10x + -30x = -183 + 30x + -30x

Combine like terms: 10x + -30x = -20x
-103 + -20x = -183 + 30x + -30x

Combine like terms: 30x + -30x = 0
-103 + -20x = -183 + 0
-103 + -20x = -183

Add '103' to each side of the equation.
-103 + 103 + -20x = -183 + 103

Combine like terms: -103 + 103 = 0
0 + -20x = -183 + 103
-20x = -183 + 103

Combine like terms: -183 + 103 = -80
-20x = -80

Divide each side by '-20'.
x = 4

Simplifying
x = 4

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