19x+4-3(x)=-16(14+3-x)-13x+10

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Solution for 19x+4-3(x)=-16(14+3-x)-13x+10 equation:


Simplifying
19x + 4 + -3(x) = -16(14 + 3 + -1x) + -13x + 10

Reorder the terms:
4 + 19x + -3x = -16(14 + 3 + -1x) + -13x + 10

Combine like terms: 19x + -3x = 16x
4 + 16x = -16(14 + 3 + -1x) + -13x + 10

Combine like terms: 14 + 3 = 17
4 + 16x = -16(17 + -1x) + -13x + 10
4 + 16x = (17 * -16 + -1x * -16) + -13x + 10
4 + 16x = (-272 + 16x) + -13x + 10

Reorder the terms:
4 + 16x = -272 + 10 + 16x + -13x

Combine like terms: -272 + 10 = -262
4 + 16x = -262 + 16x + -13x

Combine like terms: 16x + -13x = 3x
4 + 16x = -262 + 3x

Solving
4 + 16x = -262 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 16x + -3x = -262 + 3x + -3x

Combine like terms: 16x + -3x = 13x
4 + 13x = -262 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 13x = -262 + 0
4 + 13x = -262

Add '-4' to each side of the equation.
4 + -4 + 13x = -262 + -4

Combine like terms: 4 + -4 = 0
0 + 13x = -262 + -4
13x = -262 + -4

Combine like terms: -262 + -4 = -266
13x = -266

Divide each side by '13'.
x = -20.46153846

Simplifying
x = -20.46153846

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