x+40+3x+10=x+7x-50

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Solution for x+40+3x+10=x+7x-50 equation:


Simplifying
x + 40 + 3x + 10 = x + 7x + -50

Reorder the terms:
40 + 10 + x + 3x = x + 7x + -50

Combine like terms: 40 + 10 = 50
50 + x + 3x = x + 7x + -50

Combine like terms: x + 3x = 4x
50 + 4x = x + 7x + -50

Reorder the terms:
50 + 4x = -50 + x + 7x

Combine like terms: x + 7x = 8x
50 + 4x = -50 + 8x

Solving
50 + 4x = -50 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
50 + 4x + -8x = -50 + 8x + -8x

Combine like terms: 4x + -8x = -4x
50 + -4x = -50 + 8x + -8x

Combine like terms: 8x + -8x = 0
50 + -4x = -50 + 0
50 + -4x = -50

Add '-50' to each side of the equation.
50 + -50 + -4x = -50 + -50

Combine like terms: 50 + -50 = 0
0 + -4x = -50 + -50
-4x = -50 + -50

Combine like terms: -50 + -50 = -100
-4x = -100

Divide each side by '-4'.
x = 25

Simplifying
x = 25

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