7(x+7)7=10x-3(x-5)

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Solution for 7(x+7)7=10x-3(x-5) equation:


Simplifying
7(x + 7) * 7 = 10x + -3(x + -5)

Reorder the terms:
7(7 + x) * 7 = 10x + -3(x + -5)

Reorder the terms for easier multiplication:
7 * 7(7 + x) = 10x + -3(x + -5)

Multiply 7 * 7
49(7 + x) = 10x + -3(x + -5)
(7 * 49 + x * 49) = 10x + -3(x + -5)
(343 + 49x) = 10x + -3(x + -5)

Reorder the terms:
343 + 49x = 10x + -3(-5 + x)
343 + 49x = 10x + (-5 * -3 + x * -3)
343 + 49x = 10x + (15 + -3x)

Reorder the terms:
343 + 49x = 15 + 10x + -3x

Combine like terms: 10x + -3x = 7x
343 + 49x = 15 + 7x

Solving
343 + 49x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
343 + 49x + -7x = 15 + 7x + -7x

Combine like terms: 49x + -7x = 42x
343 + 42x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
343 + 42x = 15 + 0
343 + 42x = 15

Add '-343' to each side of the equation.
343 + -343 + 42x = 15 + -343

Combine like terms: 343 + -343 = 0
0 + 42x = 15 + -343
42x = 15 + -343

Combine like terms: 15 + -343 = -328
42x = -328

Divide each side by '42'.
x = -7.80952381

Simplifying
x = -7.80952381

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