5(3x+7)-1=3(5x+x)+4

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Solution for 5(3x+7)-1=3(5x+x)+4 equation:


Simplifying
5(3x + 7) + -1 = 3(5x + x) + 4

Reorder the terms:
5(7 + 3x) + -1 = 3(5x + x) + 4
(7 * 5 + 3x * 5) + -1 = 3(5x + x) + 4
(35 + 15x) + -1 = 3(5x + x) + 4

Reorder the terms:
35 + -1 + 15x = 3(5x + x) + 4

Combine like terms: 35 + -1 = 34
34 + 15x = 3(5x + x) + 4

Combine like terms: 5x + x = 6x
34 + 15x = 3(6x) + 4

Remove parenthesis around (6x)
34 + 15x = 3 * 6x + 4

Multiply 3 * 6
34 + 15x = 18x + 4

Reorder the terms:
34 + 15x = 4 + 18x

Solving
34 + 15x = 4 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
34 + 15x + -18x = 4 + 18x + -18x

Combine like terms: 15x + -18x = -3x
34 + -3x = 4 + 18x + -18x

Combine like terms: 18x + -18x = 0
34 + -3x = 4 + 0
34 + -3x = 4

Add '-34' to each side of the equation.
34 + -34 + -3x = 4 + -34

Combine like terms: 34 + -34 = 0
0 + -3x = 4 + -34
-3x = 4 + -34

Combine like terms: 4 + -34 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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