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

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


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

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

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

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

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

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

Combine like terms: -7 + 7 = 0
0 + 4x = -7 + 7 + 2x
4x = -7 + 7 + 2x

Combine like terms: -7 + 7 = 0
4x = 0 + 2x
4x = 2x

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

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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