3(5x+4)30-15=2x-3

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Solution for 3(5x+4)30-15=2x-3 equation:


Simplifying
3(5x + 4) * 30 + -15 = 2x + -3

Reorder the terms:
3(4 + 5x) * 30 + -15 = 2x + -3

Reorder the terms for easier multiplication:
3 * 30(4 + 5x) + -15 = 2x + -3

Multiply 3 * 30
90(4 + 5x) + -15 = 2x + -3
(4 * 90 + 5x * 90) + -15 = 2x + -3
(360 + 450x) + -15 = 2x + -3

Reorder the terms:
360 + -15 + 450x = 2x + -3

Combine like terms: 360 + -15 = 345
345 + 450x = 2x + -3

Reorder the terms:
345 + 450x = -3 + 2x

Solving
345 + 450x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
345 + 450x + -2x = -3 + 2x + -2x

Combine like terms: 450x + -2x = 448x
345 + 448x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
345 + 448x = -3 + 0
345 + 448x = -3

Add '-345' to each side of the equation.
345 + -345 + 448x = -3 + -345

Combine like terms: 345 + -345 = 0
0 + 448x = -3 + -345
448x = -3 + -345

Combine like terms: -3 + -345 = -348
448x = -348

Divide each side by '448'.
x = -0.7767857143

Simplifying
x = -0.7767857143

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