4x+10=7x-16

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Solution for 4x+10=7x-16 equation: 


Simplifying
4x + 10 = 7x + -16

Reorder the terms:
10 + 4x = 7x + -16

Reorder the terms:
10 + 4x = -16 + 7x

Solving
10 + 4x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 4x + -7x = -16 + 7x + -7x

Combine like terms: 4x + -7x = -3x
10 + -3x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -3x = -16 + 0
10 + -3x = -16

Add '-10' to each side of the equation.
10 + -10 + -3x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -16 + -10
-3x = -16 + -10

Combine like terms: -16 + -10 = -26
-3x = -26

Divide each side by '-3'.
x = 8.666666667

Simplifying
x = 8.666666667

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