4x+10=7-5x

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Solution for 4x+10=7-5x equation:


Simplifying
4x + 10 = 7 + -5x

Reorder the terms:
10 + 4x = 7 + -5x

Solving
10 + 4x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 4x + 5x = 7 + -5x + 5x

Combine like terms: 4x + 5x = 9x
10 + 9x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 9x = 7 + 0
10 + 9x = 7

Add '-10' to each side of the equation.
10 + -10 + 9x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 7 + -10
9x = 7 + -10

Combine like terms: 7 + -10 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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