2(5x-3)=-x+49

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Solution for 2(5x-3)=-x+49 equation:


Simplifying
2(5x + -3) = -1x + 49

Reorder the terms:
2(-3 + 5x) = -1x + 49
(-3 * 2 + 5x * 2) = -1x + 49
(-6 + 10x) = -1x + 49

Reorder the terms:
-6 + 10x = 49 + -1x

Solving
-6 + 10x = 49 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 10x + x = 49 + -1x + x

Combine like terms: 10x + x = 11x
-6 + 11x = 49 + -1x + x

Combine like terms: -1x + x = 0
-6 + 11x = 49 + 0
-6 + 11x = 49

Add '6' to each side of the equation.
-6 + 6 + 11x = 49 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 49 + 6
11x = 49 + 6

Combine like terms: 49 + 6 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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