100(0.17x+0.7(x-2))=100(0.01(4x-1))

Solution for 100(0.17x+0.7(x-2))=100(0.01(4x-1)) equation:

Simplifying
100(0.17x + 0.7(x + -2)) = 100(0.01(4x + -1))

Reorder the terms:
100(0.17x + 0.7(-2 + x)) = 100(0.01(4x + -1))
100(0.17x + (-2 * 0.7 + x * 0.7)) = 100(0.01(4x + -1))
100(0.17x + (-1.4 + 0.7x)) = 100(0.01(4x + -1))

Reorder the terms:
100(-1.4 + 0.17x + 0.7x) = 100(0.01(4x + -1))

Combine like terms: 0.17x + 0.7x = 0.87x
100(-1.4 + 0.87x) = 100(0.01(4x + -1))
(-1.4 * 100 + 0.87x * 100) = 100(0.01(4x + -1))
(-140 + 87x) = 100(0.01(4x + -1))

Reorder the terms:
-140 + 87x = 100(0.01(-1 + 4x))
-140 + 87x = 100((-1 * 0.01 + 4x * 0.01))
-140 + 87x = 100((-0.01 + 0.04x))
-140 + 87x = (-0.01 * 100 + 0.04x * 100)
-140 + 87x = (-1 + 4x)

Solving
-140 + 87x = -1 + 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.
-140 + 87x + -4x = -1 + 4x + -4x

Combine like terms: 87x + -4x = 83x
-140 + 83x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-140 + 83x = -1 + 0
-140 + 83x = -1

Add '140' to each side of the equation.
-140 + 140 + 83x = -1 + 140

Combine like terms: -140 + 140 = 0
0 + 83x = -1 + 140
83x = -1 + 140

Combine like terms: -1 + 140 = 139
83x = 139

Divide each side by '83'.
x = 1.674698795

Simplifying
x = 1.674698795