3(8x-.5)-5x+3=7x-5(x+10)+1.5

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Solution for 3(8x-.5)-5x+3=7x-5(x+10)+1.5 equation:


Simplifying
3(8x + -0.5) + -5x + 3 = 7x + -5(x + 10) + 1.5

Reorder the terms:
3(-0.5 + 8x) + -5x + 3 = 7x + -5(x + 10) + 1.5
(-0.5 * 3 + 8x * 3) + -5x + 3 = 7x + -5(x + 10) + 1.5
(-1.5 + 24x) + -5x + 3 = 7x + -5(x + 10) + 1.5

Reorder the terms:
-1.5 + 3 + 24x + -5x = 7x + -5(x + 10) + 1.5

Combine like terms: -1.5 + 3 = 1.5
1.5 + 24x + -5x = 7x + -5(x + 10) + 1.5

Combine like terms: 24x + -5x = 19x
1.5 + 19x = 7x + -5(x + 10) + 1.5

Reorder the terms:
1.5 + 19x = 7x + -5(10 + x) + 1.5
1.5 + 19x = 7x + (10 * -5 + x * -5) + 1.5
1.5 + 19x = 7x + (-50 + -5x) + 1.5

Reorder the terms:
1.5 + 19x = -50 + 1.5 + 7x + -5x

Combine like terms: -50 + 1.5 = -48.5
1.5 + 19x = -48.5 + 7x + -5x

Combine like terms: 7x + -5x = 2x
1.5 + 19x = -48.5 + 2x

Solving
1.5 + 19x = -48.5 + 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.
1.5 + 19x + -2x = -48.5 + 2x + -2x

Combine like terms: 19x + -2x = 17x
1.5 + 17x = -48.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + 17x = -48.5 + 0
1.5 + 17x = -48.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 17x = -48.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 17x = -48.5 + -1.5
17x = -48.5 + -1.5

Combine like terms: -48.5 + -1.5 = -50
17x = -50

Divide each side by '17'.
x = -2.941176471

Simplifying
x = -2.941176471

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