2x-(3x-9)=7x-49

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Solution for 2x-(3x-9)=7x-49 equation:


Simplifying
2x + -1(3x + -9) = 7x + -49

Reorder the terms:
2x + -1(-9 + 3x) = 7x + -49
2x + (-9 * -1 + 3x * -1) = 7x + -49
2x + (9 + -3x) = 7x + -49

Reorder the terms:
9 + 2x + -3x = 7x + -49

Combine like terms: 2x + -3x = -1x
9 + -1x = 7x + -49

Reorder the terms:
9 + -1x = -49 + 7x

Solving
9 + -1x = -49 + 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.
9 + -1x + -7x = -49 + 7x + -7x

Combine like terms: -1x + -7x = -8x
9 + -8x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -8x = -49 + 0
9 + -8x = -49

Add '-9' to each side of the equation.
9 + -9 + -8x = -49 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -49 + -9
-8x = -49 + -9

Combine like terms: -49 + -9 = -58
-8x = -58

Divide each side by '-8'.
x = 7.25

Simplifying
x = 7.25

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