-10x+4(4-2x)=11x-3(10x-10)

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Solution for -10x+4(4-2x)=11x-3(10x-10) equation:


Simplifying
-10x + 4(4 + -2x) = 11x + -3(10x + -10)
-10x + (4 * 4 + -2x * 4) = 11x + -3(10x + -10)
-10x + (16 + -8x) = 11x + -3(10x + -10)

Reorder the terms:
16 + -10x + -8x = 11x + -3(10x + -10)

Combine like terms: -10x + -8x = -18x
16 + -18x = 11x + -3(10x + -10)

Reorder the terms:
16 + -18x = 11x + -3(-10 + 10x)
16 + -18x = 11x + (-10 * -3 + 10x * -3)
16 + -18x = 11x + (30 + -30x)

Reorder the terms:
16 + -18x = 30 + 11x + -30x

Combine like terms: 11x + -30x = -19x
16 + -18x = 30 + -19x

Solving
16 + -18x = 30 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
16 + -18x + 19x = 30 + -19x + 19x

Combine like terms: -18x + 19x = 1x
16 + 1x = 30 + -19x + 19x

Combine like terms: -19x + 19x = 0
16 + 1x = 30 + 0
16 + 1x = 30

Add '-16' to each side of the equation.
16 + -16 + 1x = 30 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 30 + -16
1x = 30 + -16

Combine like terms: 30 + -16 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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