5(3x-1)+4=10x+6

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Solution for 5(3x-1)+4=10x+6 equation:


Simplifying
5(3x + -1) + 4 = 10x + 6

Reorder the terms:
5(-1 + 3x) + 4 = 10x + 6
(-1 * 5 + 3x * 5) + 4 = 10x + 6
(-5 + 15x) + 4 = 10x + 6

Reorder the terms:
-5 + 4 + 15x = 10x + 6

Combine like terms: -5 + 4 = -1
-1 + 15x = 10x + 6

Reorder the terms:
-1 + 15x = 6 + 10x

Solving
-1 + 15x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + 15x + -10x = 6 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-1 + 5x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + 5x = 6 + 0
-1 + 5x = 6

Add '1' to each side of the equation.
-1 + 1 + 5x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 6 + 1
5x = 6 + 1

Combine like terms: 6 + 1 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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