2x-7(7x+8)=3x-40

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Solution for 2x-7(7x+8)=3x-40 equation:


Simplifying
2x + -7(7x + 8) = 3x + -40

Reorder the terms:
2x + -7(8 + 7x) = 3x + -40
2x + (8 * -7 + 7x * -7) = 3x + -40
2x + (-56 + -49x) = 3x + -40

Reorder the terms:
-56 + 2x + -49x = 3x + -40

Combine like terms: 2x + -49x = -47x
-56 + -47x = 3x + -40

Reorder the terms:
-56 + -47x = -40 + 3x

Solving
-56 + -47x = -40 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-56 + -47x + -3x = -40 + 3x + -3x

Combine like terms: -47x + -3x = -50x
-56 + -50x = -40 + 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + -50x = -40 + 0
-56 + -50x = -40

Add '56' to each side of the equation.
-56 + 56 + -50x = -40 + 56

Combine like terms: -56 + 56 = 0
0 + -50x = -40 + 56
-50x = -40 + 56

Combine like terms: -40 + 56 = 16
-50x = 16

Divide each side by '-50'.
x = -0.32

Simplifying
x = -0.32

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