7x+5=10x-7

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


Simplifying
7x + 5 = 10x + -7

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

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

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

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

Combine like terms: 10x + -10x = 0
5 + -3x = -7 + 0
5 + -3x = -7

Add '-5' to each side of the equation.
5 + -5 + -3x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -7 + -5
-3x = -7 + -5

Combine like terms: -7 + -5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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