7-(2x-3)=4x+22

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Solution for 7-(2x-3)=4x+22 equation:


Simplifying
7 + -1(2x + -3) = 4x + 22

Reorder the terms:
7 + -1(-3 + 2x) = 4x + 22
7 + (-3 * -1 + 2x * -1) = 4x + 22
7 + (3 + -2x) = 4x + 22

Combine like terms: 7 + 3 = 10
10 + -2x = 4x + 22

Reorder the terms:
10 + -2x = 22 + 4x

Solving
10 + -2x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -2x + -4x = 22 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = 22 + 0
10 + -6x = 22

Add '-10' to each side of the equation.
10 + -10 + -6x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 22 + -10
-6x = 22 + -10

Combine like terms: 22 + -10 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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