x+3=4(5x-2)

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


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

Reorder the terms:
3 + x = 4(5x + -2)

Reorder the terms:
3 + x = 4(-2 + 5x)
3 + x = (-2 * 4 + 5x * 4)
3 + x = (-8 + 20x)

Solving
3 + x = -8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
3 + x + -20x = -8 + 20x + -20x

Combine like terms: x + -20x = -19x
3 + -19x = -8 + 20x + -20x

Combine like terms: 20x + -20x = 0
3 + -19x = -8 + 0
3 + -19x = -8

Add '-3' to each side of the equation.
3 + -3 + -19x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -19x = -8 + -3
-19x = -8 + -3

Combine like terms: -8 + -3 = -11
-19x = -11

Divide each side by '-19'.
x = 0.5789473684

Simplifying
x = 0.5789473684

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