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

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


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

Reorder the terms:
-4(-2 + x) + 3 = x + 2(x + -5)
(-2 * -4 + x * -4) + 3 = x + 2(x + -5)
(8 + -4x) + 3 = x + 2(x + -5)

Reorder the terms:
8 + 3 + -4x = x + 2(x + -5)

Combine like terms: 8 + 3 = 11
11 + -4x = x + 2(x + -5)

Reorder the terms:
11 + -4x = x + 2(-5 + x)
11 + -4x = x + (-5 * 2 + x * 2)
11 + -4x = x + (-10 + 2x)

Reorder the terms:
11 + -4x = -10 + x + 2x

Combine like terms: x + 2x = 3x
11 + -4x = -10 + 3x

Solving
11 + -4x = -10 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
11 + -4x + -3x = -10 + 3x + -3x

Combine like terms: -4x + -3x = -7x
11 + -7x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -7x = -10 + 0
11 + -7x = -10

Add '-11' to each side of the equation.
11 + -11 + -7x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -10 + -11
-7x = -10 + -11

Combine like terms: -10 + -11 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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