4(x-3)+15=2x-4

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Solution for 4(x-3)+15=2x-4 equation:


Simplifying
4(x + -3) + 15 = 2x + -4

Reorder the terms:
4(-3 + x) + 15 = 2x + -4
(-3 * 4 + x * 4) + 15 = 2x + -4
(-12 + 4x) + 15 = 2x + -4

Reorder the terms:
-12 + 15 + 4x = 2x + -4

Combine like terms: -12 + 15 = 3
3 + 4x = 2x + -4

Reorder the terms:
3 + 4x = -4 + 2x

Solving
3 + 4x = -4 + 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.
3 + 4x + -2x = -4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
3 + 2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 2x = -4 + 0
3 + 2x = -4

Add '-3' to each side of the equation.
3 + -3 + 2x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -4 + -3
2x = -4 + -3

Combine like terms: -4 + -3 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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