10x+7=4x+5

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


Simplifying
10x + 7 = 4x + 5

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

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

Solving
7 + 10x = 5 + 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.
7 + 10x + -4x = 5 + 4x + -4x

Combine like terms: 10x + -4x = 6x
7 + 6x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 6x = 5 + 0
7 + 6x = 5

Add '-7' to each side of the equation.
7 + -7 + 6x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 5 + -7
6x = 5 + -7

Combine like terms: 5 + -7 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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