4x+7=10x-11

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Solution for 4x+7=10x-11 equation:


Simplifying
4x + 7 = 10x + -11

Reorder the terms:
7 + 4x = 10x + -11

Reorder the terms:
7 + 4x = -11 + 10x

Solving
7 + 4x = -11 + 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 = -11 + 10x + -10x

Combine like terms: 4x + -10x = -6x
7 + -6x = -11 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -6x = -11 + 0
7 + -6x = -11

Add '-7' to each side of the equation.
7 + -7 + -6x = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -11 + -7
-6x = -11 + -7

Combine like terms: -11 + -7 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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