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

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


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

Reorder the terms:
4(-3 + x) + 7 = 2x + 5
(-3 * 4 + x * 4) + 7 = 2x + 5
(-12 + 4x) + 7 = 2x + 5

Reorder the terms:
-12 + 7 + 4x = 2x + 5

Combine like terms: -12 + 7 = -5
-5 + 4x = 2x + 5

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

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

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

Combine like terms: 2x + -2x = 0
-5 + 2x = 5 + 0
-5 + 2x = 5

Add '5' to each side of the equation.
-5 + 5 + 2x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 5 + 5
2x = 5 + 5

Combine like terms: 5 + 5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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