3x-4=10x-7

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Solution for 3x-4=10x-7 equation:


Simplifying
3x + -4 = 10x + -7

Reorder the terms:
-4 + 3x = 10x + -7

Reorder the terms:
-4 + 3x = -7 + 10x

Solving
-4 + 3x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 3x + -10x = -7 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-4 + -7x = -7 + 0
-4 + -7x = -7

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

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

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

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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