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

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


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

Reorder the terms:
-3(-5 + x) + 4 = 4 + -2(x + -2)
(-5 * -3 + x * -3) + 4 = 4 + -2(x + -2)
(15 + -3x) + 4 = 4 + -2(x + -2)

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

Combine like terms: 15 + 4 = 19
19 + -3x = 4 + -2(x + -2)

Reorder the terms:
19 + -3x = 4 + -2(-2 + x)
19 + -3x = 4 + (-2 * -2 + x * -2)
19 + -3x = 4 + (4 + -2x)

Combine like terms: 4 + 4 = 8
19 + -3x = 8 + -2x

Solving
19 + -3x = 8 + -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.
19 + -3x + 2x = 8 + -2x + 2x

Combine like terms: -3x + 2x = -1x
19 + -1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
19 + -1x = 8 + 0
19 + -1x = 8

Add '-19' to each side of the equation.
19 + -19 + -1x = 8 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 8 + -19
-1x = 8 + -19

Combine like terms: 8 + -19 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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