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

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


Simplifying
2 + 4(2 + -1x) = 4 + 5(3 + x)
2 + (2 * 4 + -1x * 4) = 4 + 5(3 + x)
2 + (8 + -4x) = 4 + 5(3 + x)

Combine like terms: 2 + 8 = 10
10 + -4x = 4 + 5(3 + x)
10 + -4x = 4 + (3 * 5 + x * 5)
10 + -4x = 4 + (15 + 5x)

Combine like terms: 4 + 15 = 19
10 + -4x = 19 + 5x

Solving
10 + -4x = 19 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -4x + -5x = 19 + 5x + -5x

Combine like terms: -4x + -5x = -9x
10 + -9x = 19 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -9x = 19 + 0
10 + -9x = 19

Add '-10' to each side of the equation.
10 + -10 + -9x = 19 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 19 + -10
-9x = 19 + -10

Combine like terms: 19 + -10 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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