4x-3=x-5+7x-10

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Solution for 4x-3=x-5+7x-10 equation:


Simplifying
4x + -3 = x + -5 + 7x + -10

Reorder the terms:
-3 + 4x = x + -5 + 7x + -10

Reorder the terms:
-3 + 4x = -5 + -10 + x + 7x

Combine like terms: -5 + -10 = -15
-3 + 4x = -15 + x + 7x

Combine like terms: x + 7x = 8x
-3 + 4x = -15 + 8x

Solving
-3 + 4x = -15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 4x + -8x = -15 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-3 + -4x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -4x = -15 + 0
-3 + -4x = -15

Add '3' to each side of the equation.
-3 + 3 + -4x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -15 + 3
-4x = -15 + 3

Combine like terms: -15 + 3 = -12
-4x = -12

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

Simplifying
x = 3

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