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

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


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

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

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

Combine like terms: x + -3x = -2x
12 + -2x = 2 + (2x + 5)

Reorder the terms:
12 + -2x = 2 + (5 + 2x)

Remove parenthesis around (5 + 2x)
12 + -2x = 2 + 5 + 2x

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

Solving
12 + -2x = 7 + 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.
12 + -2x + -2x = 7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
12 + -4x = 7 + 0
12 + -4x = 7

Add '-12' to each side of the equation.
12 + -12 + -4x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 7 + -12
-4x = 7 + -12

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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