4x-10=7x-40

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Solution for 4x-10=7x-40 equation:


Simplifying
4x + -10 = 7x + -40

Reorder the terms:
-10 + 4x = 7x + -40

Reorder the terms:
-10 + 4x = -40 + 7x

Solving
-10 + 4x = -40 + 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 = -40 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-10 + -3x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -3x = -40 + 0
-10 + -3x = -40

Add '10' to each side of the equation.
-10 + 10 + -3x = -40 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -40 + 10
-3x = -40 + 10

Combine like terms: -40 + 10 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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