7x+10=-2x+46

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Solution for 7x+10=-2x+46 equation:


Simplifying
7x + 10 = -2x + 46

Reorder the terms:
10 + 7x = -2x + 46

Reorder the terms:
10 + 7x = 46 + -2x

Solving
10 + 7x = 46 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 7x + 2x = 46 + -2x + 2x

Combine like terms: 7x + 2x = 9x
10 + 9x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 9x = 46 + 0
10 + 9x = 46

Add '-10' to each side of the equation.
10 + -10 + 9x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 46 + -10
9x = 46 + -10

Combine like terms: 46 + -10 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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