7(x-4)-8=28x-183

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Solution for 7(x-4)-8=28x-183 equation:


Simplifying
7(x + -4) + -8 = 28x + -183

Reorder the terms:
7(-4 + x) + -8 = 28x + -183
(-4 * 7 + x * 7) + -8 = 28x + -183
(-28 + 7x) + -8 = 28x + -183

Reorder the terms:
-28 + -8 + 7x = 28x + -183

Combine like terms: -28 + -8 = -36
-36 + 7x = 28x + -183

Reorder the terms:
-36 + 7x = -183 + 28x

Solving
-36 + 7x = -183 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-36 + 7x + -28x = -183 + 28x + -28x

Combine like terms: 7x + -28x = -21x
-36 + -21x = -183 + 28x + -28x

Combine like terms: 28x + -28x = 0
-36 + -21x = -183 + 0
-36 + -21x = -183

Add '36' to each side of the equation.
-36 + 36 + -21x = -183 + 36

Combine like terms: -36 + 36 = 0
0 + -21x = -183 + 36
-21x = -183 + 36

Combine like terms: -183 + 36 = -147
-21x = -147

Divide each side by '-21'.
x = 7

Simplifying
x = 7

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