7(2x+49)=2(3x-275)-665

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Solution for 7(2x+49)=2(3x-275)-665 equation:


Simplifying
7(2x + 49) = 2(3x + -275) + -665

Reorder the terms:
7(49 + 2x) = 2(3x + -275) + -665
(49 * 7 + 2x * 7) = 2(3x + -275) + -665
(343 + 14x) = 2(3x + -275) + -665

Reorder the terms:
343 + 14x = 2(-275 + 3x) + -665
343 + 14x = (-275 * 2 + 3x * 2) + -665
343 + 14x = (-550 + 6x) + -665

Reorder the terms:
343 + 14x = -550 + -665 + 6x

Combine like terms: -550 + -665 = -1215
343 + 14x = -1215 + 6x

Solving
343 + 14x = -1215 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
343 + 14x + -6x = -1215 + 6x + -6x

Combine like terms: 14x + -6x = 8x
343 + 8x = -1215 + 6x + -6x

Combine like terms: 6x + -6x = 0
343 + 8x = -1215 + 0
343 + 8x = -1215

Add '-343' to each side of the equation.
343 + -343 + 8x = -1215 + -343

Combine like terms: 343 + -343 = 0
0 + 8x = -1215 + -343
8x = -1215 + -343

Combine like terms: -1215 + -343 = -1558
8x = -1558

Divide each side by '8'.
x = -194.75

Simplifying
x = -194.75

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