7-2(x-3)=4x-5

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Solution for 7-2(x-3)=4x-5 equation:


Simplifying
7 + -2(x + -3) = 4x + -5

Reorder the terms:
7 + -2(-3 + x) = 4x + -5
7 + (-3 * -2 + x * -2) = 4x + -5
7 + (6 + -2x) = 4x + -5

Combine like terms: 7 + 6 = 13
13 + -2x = 4x + -5

Reorder the terms:
13 + -2x = -5 + 4x

Solving
13 + -2x = -5 + 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.
13 + -2x + -4x = -5 + 4x + -4x

Combine like terms: -2x + -4x = -6x
13 + -6x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -6x = -5 + 0
13 + -6x = -5

Add '-13' to each side of the equation.
13 + -13 + -6x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -5 + -13
-6x = -5 + -13

Combine like terms: -5 + -13 = -18
-6x = -18

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

Simplifying
x = 3

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