-14+3(x+10)=-8(-2x+4)+x

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Solution for -14+3(x+10)=-8(-2x+4)+x equation:


Simplifying
-14 + 3(x + 10) = -8(-2x + 4) + x

Reorder the terms:
-14 + 3(10 + x) = -8(-2x + 4) + x
-14 + (10 * 3 + x * 3) = -8(-2x + 4) + x
-14 + (30 + 3x) = -8(-2x + 4) + x

Combine like terms: -14 + 30 = 16
16 + 3x = -8(-2x + 4) + x

Reorder the terms:
16 + 3x = -8(4 + -2x) + x
16 + 3x = (4 * -8 + -2x * -8) + x
16 + 3x = (-32 + 16x) + x

Combine like terms: 16x + x = 17x
16 + 3x = -32 + 17x

Solving
16 + 3x = -32 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
16 + 3x + -17x = -32 + 17x + -17x

Combine like terms: 3x + -17x = -14x
16 + -14x = -32 + 17x + -17x

Combine like terms: 17x + -17x = 0
16 + -14x = -32 + 0
16 + -14x = -32

Add '-16' to each side of the equation.
16 + -16 + -14x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -14x = -32 + -16
-14x = -32 + -16

Combine like terms: -32 + -16 = -48
-14x = -48

Divide each side by '-14'.
x = 3.428571429

Simplifying
x = 3.428571429

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