(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

Remove parenthesis around (-7 + 4x)
-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 = -1
-7 + 4x = -1 + 2x

Solving
-7 + 4x = -1 + 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 = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-7 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 2x = -1 + 0
-7 + 2x = -1

Add '7' to each side of the equation.
-7 + 7 + 2x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -1 + 7
2x = -1 + 7

Combine like terms: -1 + 7 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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