2(4x+32)+8=7(7x+36)+7

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Solution for 2(4x+32)+8=7(7x+36)+7 equation:


Simplifying
2(4x + 32) + 8 = 7(7x + 36) + 7

Reorder the terms:
2(32 + 4x) + 8 = 7(7x + 36) + 7
(32 * 2 + 4x * 2) + 8 = 7(7x + 36) + 7
(64 + 8x) + 8 = 7(7x + 36) + 7

Reorder the terms:
64 + 8 + 8x = 7(7x + 36) + 7

Combine like terms: 64 + 8 = 72
72 + 8x = 7(7x + 36) + 7

Reorder the terms:
72 + 8x = 7(36 + 7x) + 7
72 + 8x = (36 * 7 + 7x * 7) + 7
72 + 8x = (252 + 49x) + 7

Reorder the terms:
72 + 8x = 252 + 7 + 49x

Combine like terms: 252 + 7 = 259
72 + 8x = 259 + 49x

Solving
72 + 8x = 259 + 49x

Solving for variable 'x'.

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

Add '-49x' to each side of the equation.
72 + 8x + -49x = 259 + 49x + -49x

Combine like terms: 8x + -49x = -41x
72 + -41x = 259 + 49x + -49x

Combine like terms: 49x + -49x = 0
72 + -41x = 259 + 0
72 + -41x = 259

Add '-72' to each side of the equation.
72 + -72 + -41x = 259 + -72

Combine like terms: 72 + -72 = 0
0 + -41x = 259 + -72
-41x = 259 + -72

Combine like terms: 259 + -72 = 187
-41x = 187

Divide each side by '-41'.
x = -4.56097561

Simplifying
x = -4.56097561

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