7x+4=10x-5

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


Simplifying
7x + 4 = 10x + -5

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

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

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

Combine like terms: 7x + -10x = -3x
4 + -3x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -3x = -5 + 0
4 + -3x = -5

Add '-4' to each side of the equation.
4 + -4 + -3x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -5 + -4
-3x = -5 + -4

Combine like terms: -5 + -4 = -9
-3x = -9

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

Simplifying
x = 3

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