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

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


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

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

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

Reorder the terms:
-7 + 4x = 6 + 5 + -2x

Combine like terms: 6 + 5 = 11
-7 + 4x = 11 + -2x

Solving
-7 + 4x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 4x + 2x = 11 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-7 + 6x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 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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