5(3x+2)=4x-7

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Solution for 5(3x+2)=4x-7 equation:


Simplifying
5(3x + 2) = 4x + -7

Reorder the terms:
5(2 + 3x) = 4x + -7
(2 * 5 + 3x * 5) = 4x + -7
(10 + 15x) = 4x + -7

Reorder the terms:
10 + 15x = -7 + 4x

Solving
10 + 15x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 15x + -4x = -7 + 4x + -4x

Combine like terms: 15x + -4x = 11x
10 + 11x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 11x = -7 + 0
10 + 11x = -7

Add '-10' to each side of the equation.
10 + -10 + 11x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = -7 + -10
11x = -7 + -10

Combine like terms: -7 + -10 = -17
11x = -17

Divide each side by '11'.
x = -1.545454545

Simplifying
x = -1.545454545

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