4x+7=10x-23

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Solution for 4x+7=10x-23 equation:


Simplifying
4x + 7 = 10x + -23

Reorder the terms:
7 + 4x = 10x + -23

Reorder the terms:
7 + 4x = -23 + 10x

Solving
7 + 4x = -23 + 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 = -23 + 10x + -10x

Combine like terms: 4x + -10x = -6x
7 + -6x = -23 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -6x = -23 + 0
7 + -6x = -23

Add '-7' to each side of the equation.
7 + -7 + -6x = -23 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -23 + -7
-6x = -23 + -7

Combine like terms: -23 + -7 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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