4x-7=10x-4

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


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

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

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

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

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

Combine like terms: 10x + -10x = 0
-7 + -6x = -4 + 0
-7 + -6x = -4

Add '7' to each side of the equation.
-7 + 7 + -6x = -4 + 7

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

Combine like terms: -4 + 7 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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