4(x+10)+2(-x+4)=10

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Solution for 4(x+10)+2(-x+4)=10 equation: 


Simplifying
4(x + 10) + 2(-1x + 4) = 10

Reorder the terms:
4(10 + x) + 2(-1x + 4) = 10
(10 * 4 + x * 4) + 2(-1x + 4) = 10
(40 + 4x) + 2(-1x + 4) = 10

Reorder the terms:
40 + 4x + 2(4 + -1x) = 10
40 + 4x + (4 * 2 + -1x * 2) = 10
40 + 4x + (8 + -2x) = 10

Reorder the terms:
40 + 8 + 4x + -2x = 10

Combine like terms: 40 + 8 = 48
48 + 4x + -2x = 10

Combine like terms: 4x + -2x = 2x
48 + 2x = 10

Solving
48 + 2x = 10

Solving for variable 'x'.

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

Add '-48' to each side of the equation.
48 + -48 + 2x = 10 + -48

Combine like terms: 48 + -48 = 0
0 + 2x = 10 + -48
2x = 10 + -48

Combine like terms: 10 + -48 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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