0.7(4x-5)=1.2(2x-3)

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Solution for 0.7(4x-5)=1.2(2x-3) equation: 


Simplifying
0.7(4x + -5) = 1.2(2x + -3)

Reorder the terms:
0.7(-5 + 4x) = 1.2(2x + -3)
(-5 * 0.7 + 4x * 0.7) = 1.2(2x + -3)
(-3.5 + 2.8x) = 1.2(2x + -3)

Reorder the terms:
-3.5 + 2.8x = 1.2(-3 + 2x)
-3.5 + 2.8x = (-3 * 1.2 + 2x * 1.2)
-3.5 + 2.8x = (-3.6 + 2.4x)

Solving
-3.5 + 2.8x = -3.6 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
-3.5 + 2.8x + -2.4x = -3.6 + 2.4x + -2.4x

Combine like terms: 2.8x + -2.4x = 0.4x
-3.5 + 0.4x = -3.6 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
-3.5 + 0.4x = -3.6 + 0.0
-3.5 + 0.4x = -3.6

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.4x = -3.6 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.4x = -3.6 + 3.5
0.4x = -3.6 + 3.5

Combine like terms: -3.6 + 3.5 = -0.1
0.4x = -0.1

Divide each side by '0.4'.
x = -0.25

Simplifying
x = -0.25

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