(4x+10)=(7x-11)

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


Simplifying
(4x + 10) = (7x + -11)

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

Remove parenthesis around (10 + 4x)
10 + 4x = (7x + -11)

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

Remove parenthesis around (-11 + 7x)
10 + 4x = -11 + 7x

Solving
10 + 4x = -11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 4x + -7x = -11 + 7x + -7x

Combine like terms: 4x + -7x = -3x
10 + -3x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -3x = -11 + 0
10 + -3x = -11

Add '-10' to each side of the equation.
10 + -10 + -3x = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -11 + -10
-3x = -11 + -10

Combine like terms: -11 + -10 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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