7x+10=4x+14

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Solution for 7x+10=4x+14 equation:


Simplifying
7x + 10 = 4x + 14

Reorder the terms:
10 + 7x = 4x + 14

Reorder the terms:
10 + 7x = 14 + 4x

Solving
10 + 7x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 7x + -4x = 14 + 4x + -4x

Combine like terms: 7x + -4x = 3x
10 + 3x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 3x = 14 + 0
10 + 3x = 14

Add '-10' to each side of the equation.
10 + -10 + 3x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 14 + -10
3x = 14 + -10

Combine like terms: 14 + -10 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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